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José Luís da Silva. Completed the Licenciatura in Matemática in 1991 by Universidade de Lisboa, Doctor of Philosophy in Matemática in 1998 by Universidade da Madeira and Master in Matemática in 1993/07/25 by Universidade da Madeira. Is Associate Professor in Universidade da Madeira Centro de Ciências Matemáticas, Coordinating Researcher in Centro de Ciências Matemáticas and Coordinating Researcher in Universidade da Madeira Centro de Investigação de Matemática e Aplicações. Published more than 80 papers, 61 articles in journals. Has 5 section(s) of books and 2 book(s). Organized 2 event(s). Participated in 20 event(s). Co-supervised 3 PhD thesis(es). Supervised 1 MSc dissertation(s). Works in the area(s) of Exact Sciences with emphasis on Pure Mathematics. In their professional activities interacted with 111 collaborator(s) co-authorship of scientific papers. In his curriculum Ciência Vitae the most frequent terms in the context of scientific, technological and artistic-cultural output are: Wick product; Test and generalized functions; Functional integration; Polymers; Schrödinger equation; Test functions; Configuration space; Convolution; Poisson measure; Stochastic heat equation; Gaussian measure; S-transform; Fractional analysis; Gamma measure; Large time asymptotic; Fractional Brownian motion; Diffeomorphism group; Generalized stochastic process; Convolution calculus; Integration by parts; Infinite-dimensional analysis; Compound Poisson measure; Fractional Poisson measure; Local time; Annihilation operator; Bounded mean oscillation; Modelo de Black-Scholes; Feynman integrals; Hydrodynamic limit; Quantum theory; Cauchy problem; SDEs; Geometry on configuration spaces; Biorthogonal systems; Infinite particle systems; Convolution product; Non Gaussian analysis; Generalized functions; Fock space; Mittag-Leffler analysis; Nonlinear Stochastic equation; Edwards' model; Stochastic processes; Stochastic integrals in Hilbert space; Gibbs measure; Grand canonical Gibbs measures; Kawasaki dynamics; White noise analysis; Closability; Stochastic transport equation; Statistics and Stochastic Processes; Hydrodynamics limit.
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Identification

Personal identification

Full name
José Luís da Silva

Citation names

  • Da Silva, José Luís
  • Silva, J. L.

Author identifiers

Ciência ID
5319-65EA-8C46
ORCID iD
0000-0002-5207-1703

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics
  • Exact Sciences
  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Advanced (C1) Advanced (C1) Intermediate (B1) Advanced (C1)
German Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
Spanish; Castilian Intermediate (B1) Advanced (C1) Intermediate (B1) Advanced (C1)
Education
Degree Classification
1995 - 1998
Concluded
 Matemática (Doctor of Philosophy)
Universidade da Madeira, Portugal
"Studies in non Gaussian Analysis" (THESIS/DISSERTATION)
 Muito Bom con Distinção e Louv
1992/01/15 - 1993/07/25
Concluded
 Matemática (Master)
Universidade da Madeira, Portugal
"Integrante de Feynman para o oscilador harmónico com perturbação" (THESIS/DISSERTATION)
 Muito Bom Distinção e Louvor
1986 - 1991
Concluded
 Matemática (Licenciatura)
Universidade de Lisboa, Portugal
 15
Affiliation

Science

Category
Host institution 		Employer
2013/09/01 - Current Coordinating Researcher (Research) Universidade da Madeira Centro de Investigação de Matemática e Aplicações, Portugal
Universidade de Évora Escola de Ciências e Tecnologia, Portugal
2006/07 - Current Coordinating Researcher (Research) Centro de Ciências Matemáticas, Portugal
2007/05 - 2010/09 Coordinating Researcher (Research) Universidade da Madeira, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2004/04/12 - Current Associate Professor (University Teacher) Universidade da Madeira Centro de Ciências Matemáticas, Portugal
1998/09 - 2004/04 Assistant Professor (University Teacher) Universidade da Madeira, Portugal
Outputs

Publications

Book
  1. Da Silva, José Luís. Stochastic and Infinite Dimensional Analysis. Springer International Publishing. 2016.
    Published • 10.1007/978-3-319-07245-6 • Editor
  2. DA SILVA, JOSÉ LUÍS; Augusto, Pedro. Complex Analysis. Funchal, Portugal: Universidade da Madeira. 2003.
    Published
Book chapter
  1. Da Silva, José Luís; Custódia Drumond; Ludwig Streit. Corresponding author: Da Silva, José Luís. "Form Factors for Stars Generalized Grey Brownian Motion". In Stochastic processes, statistical methods, and engineering mathematics, edited by Anatoliy Malyarenko; Ying Ni; Milica Rancic; Sergei Silvestrov, 431-445. Springer International Publishing, 2023.
    Published • 10.1007/978-3-031-17820-7_20
  2. Kondratiev, Yuri G; Kuna, Tobias; Oliveira, Maria João; Silva, José Luís da; Streit, Ludwig. "Results about the free Kawasaki dynamics of continuous particle systems in infinite volume: long-time asymptotics and hydrodynamic limit". 2023.
    10.48550/arxiv.0912.1312
  3. Da Silva, J.L.; Grothaus, M.. "Local times in white noise analysis". 117-154. 2017.
  4. Silva, J. L.; Streit, L.; DA SILVA, JOSÉ LUÍS; Streit, Ludwig. "Feynman integrals and white noise analysis". In Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC 2002), 285-303. London, Portugal: Birkhäuser Boston, 2004.
    Published • 10.1142/9789812702364_0015
  5. Silva, J. L.. "Representation of diffeomorphisms on compound Poisson space". In Analysis on Infinite-Dimensional Lie Groups and Algebras. 1998.
Conference paper
  1. DA SILVA, JOSÉ LUÍS; Streit, Ludwig. "Form factors for random paths and polymer models: A progress report". Paper presented in STRUCTURE, FUNCTION AND DYNAMICS FROM NM TO GM: Proceedings of the 8th Jagna International Workshop, Bohol, Philippines, 2017.
    Published • 10.1063/1.4996513
  2. Bock, W.; Da Silva, J.L.. "Wick type SDEs driven by grey Brownian motion". 2017.
    10.1063/1.4996514
  3. DA SILVA, JOSÉ LUÍS; Erraoui, Mohamed; Ouerdiane, Habib. "Convolution Equation: Solution and Probabilistic Representation". Paper presented in Quantum Probability and Infinite Dimensional Analysis - 29th Conference, Hammamet, Tunisia, 2008.
    Published • 10.1142/9789814295437_0016
  4. DA SILVA, JOSÉ LUÍS; Drumond, Custódia; OLIVEIRA, MARIA JOÃO; Drumond, C.; Oliveira, M.J.; Da Silva, J.L.. "Intersection local times of fractional Brownian motions with H is an element of (0,1) as generalized white noise functionals". Paper presented in 5th Jagna International Workshop on Stochastic and Quantum Dynamics of Biomolecular Systems, Jagna, 2008.
    Published • 10.1063/1.2956798
  5. DA SILVA, JOSÉ LUÍS; Cipriano, Fernanda; Ouerdiane, Habib; Vilela Mendes, Rui. "A nonlinear stochastic equation of convolution type". Paper presented in International Conference on Stochastic Analysis and Applications, Hammamet, 2007.
    Published
  6. Ouerdiane, Habib; DA SILVA, JOSÉ LUÍS. "On the stochastic transport equation of convolution type". Paper presented in Recent Developments in Stochastic Analysis and Related Topics, Singapore, 2004.
    Published • 10.1142/9789812702241_0024
  7. DA SILVA, JOSÉ LUÍS; Da Silva, José Luís. "External and Internal Geometry on Configuration Spaces". Paper presented in Mathematical Physics and Stochastic Analysis, Lisbon, 2000.
    Published • 10.1142/9789812792167_0029
Edited book
  1. DA SILVA, JOSÉ LUÍS. Studies in non Gaussian Analysis. Funchal, Portugal: Universidade da Madeira. 1998.
Journal article
  1. Jerome B. Bendong; Sheila M. Menchavez; Jose Luis da Silva. "A Biorthogonal Approach to Infinite Dimensional Fractional Poisson Measure". Infinite Dimensional Analysis, Quantum Probability and Related Topics 26 04 (2023): 2350015-1-2350015-39. https://doi.org/10.1142/S0219025723500157.
    Published • 10.1142/S0219025723500157
  2. Yuri Kondratiev; José L. da Silva. "Compound Poisson processes: Potentials, Green measures and random times". Statistics & Probability Letters (2023): https://doi.org/10.1016/j.spl.2023.109815.
    10.1016/j.spl.2023.109815
  3. Alviu Rey Nasir; Jingle Magallanes; Jinky Bornales; José Luís Da Silva. "Feynman Integrals for the Harmonic Oscillator in an Exponentially Growing Potential". Mathematics (2023): https://doi.org/10.3390/math11071632.
    10.3390/math11071632
  4. Bendong, Jerome; Da Silva, José Luís; Menchavez, Sheila. "A Biorthogonal Approach to the Infinite Dimensional Fractional Poisson Measure". Infinite Dimensional Analysis Quantum Probability Reated topics (2023):
    Accepted
  5. Grothaus, Martin; Suryawan, Herry Pribawanto; Da Silva, José Luís. "A white noise approach to stochastic currents of Brownian motion". Infinite Dimensional Analysis, Quantum Probability and Related Topics 26 01 (2022): 2250025-1-2250025-10. http://dx.doi.org/10.1142/s0219025722500254.
    Published • 10.1142/s0219025722500254
  6. Kondratiev, Yuri; da Silva, José L.. "Random potentials for Markov processes". Applicable Analysis 102 14 (2022): 3874-3885. http://dx.doi.org/10.1080/00036811.2022.2101453.
    Published • 10.1080/00036811.2022.2101453
  7. Yuri G. Kondratiev; José Luís da Silva. "Random Times for Markov Processes with Killing". Fractal and Fractional (2021): https://doi.org/10.3390/fractalfract5040254.
    10.3390/fractalfract5040254
  8. Wei Liu; Michael Röckner; José Luís da Silva; Da Silva, José Luís. "Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations". Journal of Functional Analysis 281 8 (2021): 109135-109135. https://doi.org/10.1016/j.jfa.2021.109135.
    10.1016/j.jfa.2021.109135
  9. Yuri Kondratiev; José da Silva. "Cesaro Limits for Fractional Dynamics". Fractal and Fractional (2021): https://doi.org/10.3390/fractalfract5040133.
    10.3390/fractalfract5040133
  10. Yuri Kondratiev; José Luís da Silva. "Asymptotic Behavior of the Subordinated Traveling Waves". Journal of Statistical Physics 183 1 (2021): https://doi.org/10.1007/s10955-021-02745-x.
    10.1007/s10955-021-02745-x
  11. Yuri Kondratiev; Yuliya Mishura; José L. da Silva. "Perpetual integral functionals of multidimensional stochastic processes". Stochastics (2021): https://doi.org/10.1080/17442508.2021.1900185.
    10.1080/17442508.2021.1900185
  12. Kondratiev, Yuri; da Silva, José Luís. "Green Measures for Time Changed Markov Processes". Methods of Functional Analysis and Topology 27 3 (2021): 227-236. http://dx.doi.org/10.31392/mfat-npu26_3.2021.04.
    10.31392/mfat-npu26_3.2021.04
  13. Da Silva, José Luís. "On fractional heat equation". Fractional Calculus and Applied Analysis 24 1 (2021): 73-87. http://dx.doi.org/10.1515/fca-2021-0004.
    10.1515/fca-2021-0004
  14. Da Silva, José Luís. "Green measures for Markov processes". Methods of Functional Analysis and Topology 26 3 (2020): 241-248. http://dx.doi.org/10.31392/mfat-npu26_3.2020.05.
    10.31392/mfat-npu26_3.2020.05
  15. Da Silva, José Luís. "From random times to fractional kinetics". ¿i¿¿¿¿¿¿¿¿i¿¿¿¿i ¿¿¿¿i¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿ (2020): http://dx.doi.org/10.31392/iscs.2020.16.005.
    10.31392/iscs.2020.16.005
  16. Bock, Wolfgang; da Silva, Jose Luis; Streit, Ludwig. "Fractional Periodic Processes: Properties and an Application of Polymer Form Factors". Reports on Mathematical Physics 85 2 (2020): 267-280. http://dx.doi.org/10.1016/s0034-4877(20)30029-x.
    Published • 10.1016/s0034-4877(20)30029-x
  17. Da Silva, José Luís. "Self-intersection local times for multifractional Brownian motion in higher dimensions: A white noise approach". Infinite Dimensional Analysis, Quantum Probability and Related Topics 23 01 (2020): 2050007-2050007. http://dx.doi.org/10.1142/s0219025720500071.
    10.1142/s0219025720500071
  18. Kochubei, Anatoly N.; Kondratiev, Yuri G.; da Silva, José L.. "Random time change and related evolution equations. Time asymptotic behavior". Stochastics and Dynamics 20 05 (2019): 2050034-1-2050034-24. http://dx.doi.org/10.1142/s0219493720500343.
    Published • 10.1142/s0219493720500343
  19. Wolfgang Bock; José Luís Silva; Ludwig Streit. "On the potential in non-Gaussian chain polymer models". Mathematical Methods in the Applied Sciences 42 18 (2019): 7452-7460. https://doi.org/10.1002/mma.5864.
    10.1002/mma.5864
  20. Bock, Wolfgang; Desmettre, Sascha; da Silva, José Luís. "Integral representation of generalized grey Brownian motion". Stochastics 92 4 (2019): 552-565. http://dx.doi.org/10.1080/17442508.2019.1641093.
    Published • 10.1080/17442508.2019.1641093
  21. Da Silva, José Luís; Streit, Ludwig. Corresponding author: Da Silva, José Luís. "Structure factors for generalized grey Browinian motion". Fractional Calculus and Applied Analysis 22 2 (2019): 396-411. http://dx.doi.org/10.1515/fca-2019-0024.
    Published • 10.1515/fca-2019-0024
  22. José Luís da Silva; Mohamed Erraoui. "The Stein characterization of M-Wright distributions". Stochastics (2018): https://doi.org/10.1080/17442508.2018.1540628.
    10.1080/17442508.2018.1540628
  23. José Luís da Silva; Mohamed Erraoui. "Singularity of generalized grey Brownian motions with different parameters". Stochastic Analysis and Applications (2018): 1-7. https://doi.org/10.1080/07362994.2018.1452153.
    10.1080/07362994.2018.1452153
  24. Da Silva, José Luís. "Analysis of Stochastic Quantization for the Fractional Edwards Measure". Reports on Mathematical Physics 82 2 (2018): 187-202.
    10.1016/S0034-4877(18)30085-5
  25. Wei Liu; Michael Röckner; José Luís da Silva. "Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives". SIAM Journal on Mathematical Analysis 50 3 (2018): 2588-2607. https://doi.org/10.1137/17M1144593.
    10.1137/17M1144593
  26. Da Silva, J.L.; Kondratiev, Y.; Tkachov, P.. "Fractional kinetics in a spatial ecology model". Methods of Functional Analysis and Topology 24 3 (2018): 275-287. http://www.scopus.com/inward/record.url?eid=2-s2.0-85054834401&partnerID=MN8TOARS.
  27. Da Silva, José Luís. "Approximation of a free Poisson process by systems of freely independent particles". Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 03 (2018): 1850020-1850020.
    10.1142/S0219025718500200
  28. Silva, J.L.; Stephanovich, V.A.. "Nonlocal Fractional Dynamics for Different Terminal Densities". Acta Physica Polonica B 49 8 (2018): 1607-1623. http://dx.doi.org/10.5506/aphyspolb.49.1607.
    Published • 10.5506/aphyspolb.49.1607
  29. Da Silva, José Luís. "Form Factors for Generalized Grey Brownian Motion". arxiv.org (2017): https://arxiv.org/abs/1708.06784.
  30. da Silva, J.L.; Erraoui, M.; Da Silva, José Luís. "Existence and upper bound for the density of solutions of stochastic differential equations driven by generalized grey noise". Stochastics 89 6-7 (2017): 1116-1126. http://www.scopus.com/inward/record.url?eid=2-s2.0-85032225452&partnerID=MN8TOARS.
    10.1080/17442508.2017.1297811
  31. DA SILVA, JOSÉ LUÍS; Erraoui, Mohamed; Essaky, El Hassan. "Mixed Stochastic Differential Equations: Existence and Uniqueness Result". Journal of Theoretical Probability 1 (2016): 1-23.
    Published • 10.1007/s10959-016-0738-9
  32. Bock, Wolfgang; DA SILVA, JOSÉ LUÍS; Suryawan, Herry P.. "Local times for multifractional Brownian motion in higher dimensions: A white noise approach". Infinite Dimensional Analysis, Quantum Probability and Related Topics 19 04 (2016): 1650026-1650026.
    Published • 10.1142/S0219025716500260
  33. da Silva, Jose Luis; Kochubei, Anatoly N.; Kondratiev, Yuri. "FRACTIONAL STATISTICAL DYNAMICS AND FRACTIONAL KINETICS". Methods of Functional Analysis and Topology 22 3 (2016): 197-209. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000391358100001&KeyUID=WOS:000391358100001.
    Published
  34. da Silva, J. L.. "Local times for grey Brownian motion". International Journal of Modern Physics: Conference Series 36 00 (2015): 1560003-1560003.
    Published • 10.1142/S2010194515600034
  35. Bock, Wolfgang; João Oliveira, Maria; Luís da Silva, José; Streit, Ludwig. "Polymer measure: Varadhan's renormalization revisited". Reviews in Mathematical Physics 27 03 (2015): 1550009-15.
    Published • 10.1142/S0129055X15500099
  36. Grothaus, M.; Jahnert, F.; Riemann, F.; Da Silva, J.L.. "Mittag-Leffler analysis I: Construction and characterization". Journal of Functional Analysis 268 7 (2015): 1876-1903.
    Published • 10.1016/j.jfa.2014.12.007
  37. DA SILVA, JOSÉ LUÍS; Erraoui, Mohamed. "Generalized grey Brownian motion local time: existence and weak approximation". Stochastics An International Journal of Probability and Stochastic Processes 87 2 (2014): 347-361.
    Published • 10.1080/17442508.2014.945451
  38. DA SILVA, JOSÉ LUÍS; OLIVEIRA, MARIA JOÃO. "STUDIES IN FRACTIONAL POISSON MEASURES". International Journal of Modern Physics: Conference Series 17 1 (2012): 122-129. http://dx.doi.org/10.1142/S201019451200801X.
    Published • 10.1142/S201019451200801X
  39. DA SILVA, JOSÉ LUÍS; KUNA, TOBIAS. "DECAY TO EQUILIBRIUM FOR JUMP PROCESSES WITH HEAVY TAILS". International Journal of Modern Physics: Conference Series 17 1 (2012): 130-139. http://dx.doi.org/10.1142/S2010194512008021.
    Published • 10.1142/S2010194512008021
  40. OLIVEIRA, MARIA JOÃO; DA SILVA, JOSÉ LUÍS; Streit, Ludwig. "Intersection Local Times of Independent Fractional Brownian Motions as Generalized White Noise Functionals". Acta Applicandae Mathematicae 113 1 (2011): 17-39. http://dx.doi.org/10.1007/s10440-010-9579-1.
    Published • 10.1007/s10440-010-9579-1
  41. Grothaus, Martin; OLIVEIRA, MARIA JOÃO; DA SILVA, JOSÉ LUÍS; Streit, Ludwig. "Self-avoiding Fractional Brownian Motion—The Edwards Model". Journal of Statistical Physics 145 6 (2011): 1513-1523. http://dx.doi.org/10.1007/s10955-011-0344-2.
    Published • 10.1007/s10955-011-0344-2
  42. Da Silva, J.~L.~; Erraoui, M.~. "The $\alpha$-dependence of stochastic differential equations driven by variants of $\alpha$-stable processes". Comm.~Statist.~Theory Methods 40 19--20 (2011): 3465-3478. http://arxiv.org/PS_cache/arxiv/ps/1009/1009.5934v2.dasilva-erraoui-revision.ps.gz.
    Published • 10.1080/03610926.2011.581172
  43. Cipriano, Fernanda; Ouerdiane, Habib; DA SILVA, JOSÉ LUÍS; Vilela Mendes, Rui; Da Silva, José Luís. "A nonlinear stochastic equation of convolution type: Solution and stochastic representation". Glob.~J.~Pure Appl.~Math. 4 1 (2008): 9-23. http://www.cee.uma.pt/luis/page5/page3/files/conveq-1.pdf.
    Published
  44. Da Silva, José Luís; Erraoui, M.~; Ouerdiane, H.~; Da Silva, J.~L.~. "Generalized fractional evolution equation". Fract. Calc. Appl. Anal. 10 4 (2007): 375-398. http://zbmath.org/?q=an:1153.46026.
    Published
  45. Ouerdiane, H.~; Da Silva, J.~L.~. "Tail estimates for positive solutions of stochastic heat equation". Stochastics 79 5 (2007): 407-417. http://www.cee.uma.pt/luis/page5/page3/files/GSSR_A_207508_O-1.PDF.
    Published • 10.1080/17442500601075723
  46. Erraoui, M.~; Ouerdiane, H.~; Da Silva, J.~L.~. "Stochastic convolution-type heat equations with nonlinear drift". Stoch.~Anal.~Appl. 25 1 (2007): 237-254. http://www.cee.uma.pt/luis/page5/page3/files/SAP-Silva-FINAL-010606.pdf.
    Published • 10.1080/07362990600753478
  47. Ferreira, J.; Gouveia, D.; Reis, Maurício D. L.; Da Silva, José Luís. "Funções teste e funções generalizadas em dimensão 1. Descrição e caracterização.". Boletim da SPM 52 (2005): 59-75.
    Published
  48. Erraoui, M.~; Ouknine, Y.~; Ouerdiane, H.~; Da Silva, J.~L.~; Erraoui, M.; Ouerdiane, H.; Ouknine, Y.; Da Silva, J.L.. "Probabilistic representation of heat equation of convolution type". Random Oper.~and Stoch.~Equ. 13 4 (2005): 325-340. http://www.cee.uma.pt/luis/page5/page3/files/ouknine134a.pdf.
    Published • 10.1515/156939705775992402
  49. DA SILVA, JOSÉ LUÍS; Ferreira, Jorge; Gouveia, Délia; Reis, Maurício. "Test functions and generalized functions in dimension 1. Description and characterization". Bol. Soc. Port. Mat. 52 (2005): 59-75. http://www.cee.uma.pt/luis/page5/page3/files/teoremas6.pdf.
    Published
  50. Ouerdiane, H.~; Da Silva, J.~L.~; Da Silva, José Luís. "On the heat equation with positive generalized stochastic process potential". Methods Funct.~Anal.~Topology 10 3 (2004): 54-63. http://www.cee.uma.pt/luis/page5/page3/files/heateq5.pdf.
    Published
  51. Kuna, T.; Silva, J.L.. "Ergodicity of canonical Gibbs measures with respect to the diffeomorphism group". Mathematische Nachrichten 271 (2004): 91-104. http://www.scopus.com/inward/record.url?eid=2-s2.0-4644228999&partnerID=MN8TOARS.
    10.1002/mana.200310183
  52. Ouerdiane, H.~; Da Silva, J.~L.~; Ouerdiane, H.; Silva, J. L.; Silva, J.L.. "Generalized Feynman-Kac Formula with Stochastic Potential". INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 5 2 (2002): 1-13. http://www.cee.uma.pt/luis/page5/page3/files/os02.pdf.
    Published • 10.1142/S0219025702000808
  53. DA SILVA, JOSÉ LUÍS; Kondratiev, Yuri; Röckner, Michael. "On a Relation between Intrinsic and Extrinsic Dirichlet Forms for Interacting Particle Systems". Mathematische Nachrichten 222 1 (2001): 141-157. http://www.cee.uma.pt/luis/page5/page3/files/master5.pdf.
    Published • 10.1002/1522-2616(200102)222:1<141::AID-MANA141>3.0.CO;2-M
  54. Silva, J.D.; Kondratiev, Y.; Röckner, M.; da Silva, J.; Rockner, M.. "On a relation between intrinsic and extrinsic dirichlet forms for interacting particle systems". Mathematische Nachrichten 222 (2001): 141-157. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038512745&partnerID=MN8TOARS.
    10.1002/1522-2616(200102)222:1<141::aid-mana141>3.0.co;2-m
  55. Kondratiev, {Yu}.~G.~; Kuna, T.~; Da Silva, J.~L.~. "Marked Gibbs Measures Via Cluster Expansion". Methods Funct.~Anal.~Topology 4 4 (1998): 50-81. http://www.cee.uma.pt/luis/page5/page3/files/master6m.pdf.
    Published
  56. Kondratiev, {Yu}.~G.~; Da Silva, J.~L.~; Streit, L.~. "Differential geometry on compound {P}oisson space". Methods Funct.~Anal.~Topology 4 1 (1998): 32-58. http://www.cee.uma.pt/luis/page5/page3/files/file.pdf.
    Published
  57. Kondratiev, Y.G.; Da Silva, J.L.; Streit, L.~; Us, G.F.; Kondratiev, Y. G.; Da Silva, J. L.; Streit, L.; et al. "Analysis on poisson and gamma spaces". Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 1 (1998): 91-117. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042891710&partnerID=MN8TOARS.
    Published • 10.1142/s0219025798000089
  58. Kondratiev, Yuri; DA SILVA, JOSÉ LUÍS; Streit, Ludwig. "Generalized Appell Systems". Methods Functional Analysis and Topology 3 3 (1997): 28-61. http://www.cee.uma.pt/luis/page5/page3/files/master1.pdf.
    Published
  59. Grothaus, M.~; Khandekar, D. C.; daSilva, J. L.; Streit, L.~; Grothaus, Martin; Khandekar, D.~C.~; DA SILVA, JOSÉ LUÍS; et al. "The Feynman integral for time-dependent anharmonic oscillators". Journal of Mathematical Physics 38 6 (1997): 3278-32. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031516647&partnerID=MN8TOARS.
    Published • 10.1063/1.532045
  60. Cunha, Mário; Drumond, Custódia; Leukert, Peter; DA SILVA, JOSÉ LUÍS; Westerkamp, Werner. "The Feynman integrand for the perturbed harmonic oscillator as a Hida distribution". Annalen der Physik 507 1 (1995): 53-67. http://www.cee.uma.pt/luis/page5/page3/files/west.pdf.
    Published • 10.1002/andp.19955070107
  61. Cunha, Mario; Drumond, Custodia; Leukert, Peter; Silva, Jose Luis; Westerkamp, Werner. "Feynman integrand for the perturbed harmonic oscillator as a Hida distribution". Annalen der Physik (Leipzig) 4 1 (1995): 53-67. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029191720&partnerID=MN8TOARS.
    Published
Preprint
  1. Bendong, Jerome; Da Silva, José Luís; Menchavez, Sheila. "Fractional Poisson Analysis in Dimension one". 2022.

Other

Other output
  1. Singularity of Generalized Grey Brownian Motion and Time-Changed Brownian Motion. 2018. Da Silva, José Luís.
  2. The fractional Poisson measure in infinite dimensions. 2011. DA SILVA, JOSÉ LUÍS; OLIVEIRA, MARIA JOÃO; Ouerdiane, Habib; Vilela Mendes, Rui. http://arxiv.org/abs/1002.2124.
  3. Hydrodynamic limits for free Kawasaki dynamics of continuous particle systems. 2009. DA SILVA, JOSÉ LUÍS; KUNA, TOBIAS; OLIVEIRA, MARIA JOÃO; Streit, Ludwig; Kondratiev, Yuri. http://arxiv.org/abs/0912.1312.
  4. Numerically Solving SDEs Using Python. 2007. DA SILVA, JOSÉ LUÍS; Barber, Michael. http://ccm.uma.pt/publications/23719discussion-3-1.html.
  5. Creation and annihilation operators on the fock space. 2003. DA SILVA, JOSÉ LUÍS; Nunes, Andreia; Rodrigues, Filipa. http://www.cee.uma.pt/luis/page5/page0/files/master.pdf.
  6. Non Gaussian analysis in dimension one. 2003. DA SILVA, JOSÉ LUÍS; Gomes, José; Sousa, Romana. http://www.cee.uma.pt/luis/page5/page0/files/master15.pdf.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023/01/16 - 2023/06/30 Infinite Dimensional Analysis through Special Functions and Generalized Fractional Operators
Co-supervisor
 PhD (PhD)
Università degli Studi di Roma La Sapienza, Italy
2023/06/29 - 2023/06/29 Perturbative Exponentially Growing Potentials on Quantum Mechanical Systems
Co-supervisor
 Physics (PhD)
MSU-Iligan Institute of Technology Office of the Vice Chancellor for Research and Enterprise, Philippines
2023/01/27 - 2023/01/27 Stochastic Analysis for Vector-valued Generalized Grey Brownian Motion
Co-supervisor
 Mathematics (PhD)
Technische Universität Kaiserslautern, Germany
2021/08/09 - 2022/07/31 A BIORTHOGONAL APPROACH TO FRACTIONAL POISSON ANALYSIS
Co-supervisor
 PhD (PhD)
MSU-Iligan Institute of Technology, Philippines
2013 - 2013 A White Noise Approach to Self-intersection Local Times and Feynman Integrals for Quantum Particles in Random Media
Co-supervisor
 Doutoramento em Matemática (PhD)
Technische Universität Kaiserslautern, Germany
2006 - 2006 Distribuições Hiperbólicas Generalizadas: Aplicações ao Mercado Português
Supervisor
 Matemática (Master)
Universidade da Madeira, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2013 - 2013 Stochastic and Infinite Dimensional Analysis
Conference (Co-organisor)
 ZiF, Portugal
2013 - 2013 International Conference on Stochastic Analysis and Applications
Conference (Co-organisor)
 Várias entidades, Tunisia

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2013 - 2013 Grey Brownian motion local times: An approximation result
Conference
 Statistical Methods and Applications in Actuarial Science and Finance
CIMPA-UNESCO-MESR-MINECO-MAROC, Morocco
2013 - 2013 Existence and weak-approximation of grey Brownian motion local times
Seminar
 Oberseminar Funktionalanalysis und Stochastische Analysis
Technische Universität Kaiserslautern, Germany
2013 - 2013 Grey Brownian Motion Local Time: Existence and Weak- Approximation
Congress
 International Cramér Symposium on Insurance Mathematics
Stockholms Universitet, Sweden
2013 - 2013 Grey Brownian motion local times: An approximation result
Conference
 Stochastic and Infinite Dimensional Analysis
ZiF, Germany
2013 - 2013 International Conference on Stochastic Analysis and Applications
Conference
 International Conference on Stochastic Analysis and Applications
Université de Tunis El Manar, Tunisia
2012 - 2012 Grey Brownian motion: Recent results
Congress
 3rd International Conference of the Moroccan Society of Applied Mathematics (SM2A)
SM2A, Morocco
2012 - 2012 Beyond white noise: Grey noise
Seminar
 Oberseminar Funktionalanalysis und Stochastische Analysis
Technische Universität Kaiserslautern, Germany
2012 - 2012 Poisson grey noise in infinite dimensions
Conference
 Stochastic Analysis and Applications
Marie Curie Initial Training Network, Morocco
2012 - 2012 Fractional Poisson analysis in infinite dimensions
Conference
 6th Jagna International Workshop MATHEMATICAL ANALYSIS, MODELLING, AND SIMULATION IN INTERDISCIPLINARY SCIENCES
Research Center for Theoretical Physics (RCTP), Philippines
2011 - 2011 Poisson grey noise in infinite dimensions
Conference
 NON-COMMUTATIVE HARMONIC ANALYSIS
Institute of Mathematics of the Polish Academy of Sciences, Poland
2010 - 2010 Self-avoiding fractional Brownian motion - The Edwards model
Conference
 Autumn School and Workshop on Stochastic Control Problems for FBSDEs and Applications
University Cadi Ayyad, Morocco
2010 - 2010 Stability of SDEs driven by variants stable processes
Workshop
 Mini-Workshop on Infinite Dimensional Analysis
Technische Universität Kaiserslautern, Germany
2010 - 2010 Fractional Poisson Analysis in Infinite Dimensions
Conference
 International Conference "Modern Stochastics: Theory and Applications II”
Kiev University, Ukraine
2010 - 2010 Stochastic differential equations driven by a-stable noise
Workshop
 Workshop on Stochastic Analysis and Applications to Finance SAAF-2010
university Cadi Ayyad, Portugal
2010 - 2010 a-Continuity of SDEs driven by a- Tempered Stable Process
Workshop
 SOCONT - Stochastic Optimal Control
ESF-EPSD project. Exploring the Physics of Small Devices, Portugal
2009 - 2009 a-Continuity of SDEs driven by a- Tempered Stable Process
Conference
 International Conference on Stochastic Analysis and Applications
University Tunis El manar, Portugal
2008 - 2008 On the Kawasaki dynamics in continuum
Conference
 29th ICQRT - 29th Conference on Quantum Probability and Related Topics
University Tunis El manar, Portugal
2008 - 2008 Intersection local times of fBm in White Noise Analysis
Conference
 JMASA - Journeés Internationales de Mathématiques Appliquées de Safi
University Cadi Ayyad, Safi, Portugal
2008 - 2008 Generalized Fractional Evolution Equation
Workshop
 Networks: Real World Networks, Structure, Dynamics, Models
CCM - Madeira Math Encounters XXXIV, Portugal
2008 - 2008 Kawasaki dynamics for continuous particle systems.
Conference
 5th Jagna International Workshop Stochastic and Quantum Dynamics of biomolecular Systems
Research Center for Theoretical Physics, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2011 On Theory Multiple Contraction (PhD)
2011 Os Problemas da Matema´tica. O seu papel na Matema´tica e nas aulas de Matema´tica e nas aulas de Matema´tica Gonçalves, Ida Maria Faria de Lira (PhD)
Universidade da Madeira, Portugal

Other jury / evaluation

Activity description Institution / Organization
2021/03/01 - 2021/10/31 Member for the evaluation panel for the Mathematics Department: MER21 MDH:s Evaluation for improved Research quality Research evaluation conducted at Mälardalen University in 2020-21 Mälardalens universitet, Sweden