Dr Dmitri Finkelshtein

Athro Cyswllt

Mathematics

+44 (0) 1792 606291

d.l.finkelshtein@abertawe.ac.uk

325
Trydydd Llawr
Y Ffowndri Gyfrifiadol
Campws y Bae

Ar gael ar gyfer Goruchwyliaeth Ôl-raddedig

Dolenni Ymchwil

https://orcid.org/0000-0001-7136-9399

ResearchGate

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Scopus

Trosolwg

Rwy'n Athro Cyswllt yn Adran Mathemateg Prifysgol Abertawe.

Mae fy ymchwil yn ymwneud yn bennaf â'r pynciau dadansoddi, tebygolrwydd, ffiseg fathemategol, a hafaliadau differol rhannol (PDE) wedi'u hysbrydoli gan, a’u defnyddio yn, namcaniaeth systemau cymhleth.

Rwyf wedi ymdrin â dadansoddiad dimensiynol-anfeidraidd, cymhwyso dulliau dadansoddi ffwythiannol a damcaniaeth tebygolrwydd i ffiseg fathemategol, hapfesurau, dynameg stocastig, a bioleg fathemategol. Hefyd, rwy’n gweithio’n ddyfal ar astudio hafaliadau esblygiad nad ydynt yn lleol sy'n codi fel terfynau graddio ar gyfer dynameg stocastig y systemau cymhleth dan sylw.

Meysydd Arbenigedd

Systemau Cymhleth
Dadansoddiad Dimensiynol-Anfeidraidd
Prosesau Pwynt
Hafaliadau Esblygiad nad ydynt yn lleol
Ecoleg Poblogaeth
Calcwlws Wmbrol

Cyhoeddiadau

Uchafbwyntiau Ymchwil

Finkelshtein, D., Lytvynov, E., Kondratiev, Y., & Oliveira, M. (n.d.) Finite difference calculus in the continuum. Ukrainian Mathematical Journal
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa68123
Finkelshtein, D., Lytvynov, E., Oliveira, M., Kuchling, P., & Kondratiev, Y. (n.d.) Analysis on the cone of discrete Radon measures. Pure and Applied Functional Analysis
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa66108
Hamis, S., Somervuo, P., Ågren, J., Tadele, D., Kesseli, J., Scott, J., Nykter, M., Gerlee, P., Finkelshtein, D., & Ovaskainen, O. (2023). Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems. Journal of Mathematical Biology, 86(5)
https://doi.org/10.1007/s00285-023-01903-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63090
http://dx.doi.org/10.1007/s00285-023-01903-x
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2022). Stirling operators in spatial combinatorics. Journal of Functional Analysis, 282(2), 109285
https://doi.org/10.1016/j.jfa.2021.109285, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58358
Cornell, S., Suprunenko, Y., Finkelshtein, D., Somervuo, P., & Ovaskainen, O. (2019). A unified framework for analysis of individual-based models in ecology and beyond. Nature Communications, 10(1)
https://doi.org/10.1038/s41467-019-12172-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52506
Ovaskainen, O., Somervuo, P., & Finkelshtein, D. (2020). A general mathematical method for predicting spatio-temporal correlations emerging from agent-based models. Journal of The Royal Society Interface, 17(171), 20200655
https://doi.org/10.1098/rsif.2020.0655, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55531
http://dx.doi.org/10.1098/rsif.2020.0655
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Doubly nonlocal Fisher–KPP equation: front propagation. Applicable Analysis, 1-24.
https://doi.org/10.1080/00036811.2019.1643011, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51086
http://dx.doi.org/10.1080/00036811.2019.1643011
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2019). An infinite dimensional umbral calculus. Journal of Functional Analysis, 276(12), 3714-3766.
https://doi.org/10.1016/j.jfa.2019.03.006, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49896
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case. Journal of Elliptic and Parabolic Equations, 5(2), 423-471.
https://doi.org/10.1007/s41808-019-00045-w, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52633
Finkelshtein, D. (2022). Extinction threshold in the spatial stochastic logistic model: space homogeneous case. Applicable Analysis, 101(7), 2726-2753.
https://doi.org/10.1080/00036811.2020.1820996, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55219

Holl Ymchwil

Erthyglau Cylchgronau

Hamis, S., Somervuo, P., Ågren, J., Tadele, D., Kesseli, J., Scott, J., Nykter, M., Gerlee, P., Finkelshtein, D., & Ovaskainen, O. (2023). Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems. Journal of Mathematical Biology, 86(5)
https://doi.org/10.1007/s00285-023-01903-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63090
http://dx.doi.org/10.1007/s00285-023-01903-x
Finkelshtein, D. (2022). Extinction threshold in the spatial stochastic logistic model: space homogeneous case. Applicable Analysis, 101(7), 2726-2753.
https://doi.org/10.1080/00036811.2020.1820996, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55219
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2022). Stirling operators in spatial combinatorics. Journal of Functional Analysis, 282(2), 109285
https://doi.org/10.1016/j.jfa.2021.109285, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58358
Finkelshtein, D., Kondratiev, Y., & Kuchling, P. (2021). Markov dynamics on the cone of discrete Radon measures. Methods of Functional Analysis and Topology, 27(2), 173-191.
https://doi.org/10.31392/MFAT-npu26_2.2021.06, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58285
http://mfat.imath.kiev.ua/article/?id=1563
Bezborodov, V., Persio, L., Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2021). Fecundity regulation in a spatial birth-and-death process. Stochastics and Dynamics, 21(01), 2050038
https://doi.org/10.1142/s0219493720500380, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53563
http://dx.doi.org/10.1142/s0219493720500380
Ovaskainen, O., Somervuo, P., & Finkelshtein, D. (2021). Mathematical and simulation methods for deriving extinction thresholds in spatial and stochastic models of interacting agents. Methods in Ecology and Evolution, 12(1), 162-169.
https://doi.org/10.1111/2041-210x.13498, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55458
Ovaskainen, O., Somervuo, P., & Finkelshtein, D. (2020). A general mathematical method for predicting spatio-temporal correlations emerging from agent-based models. Journal of The Royal Society Interface, 17(171), 20200655
https://doi.org/10.1098/rsif.2020.0655, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55531
http://dx.doi.org/10.1098/rsif.2020.0655
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Doubly nonlocal Fisher–KPP equation: front propagation. Applicable Analysis, 1-24.
https://doi.org/10.1080/00036811.2019.1643011, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51086
http://dx.doi.org/10.1080/00036811.2019.1643011
Cornell, S., Suprunenko, Y., Finkelshtein, D., Somervuo, P., & Ovaskainen, O. (2019). A unified framework for analysis of individual-based models in ecology and beyond. Nature Communications, 10(1)
https://doi.org/10.1038/s41467-019-12172-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52506
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case. Journal of Elliptic and Parabolic Equations, 5(2), 423-471.
https://doi.org/10.1007/s41808-019-00045-w, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52633
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., Oliveira, M., & Streit, L. (2019). Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis. Journal of Mathematical Analysis and Applications, 479(1), 162-184.
https://doi.org/10.1016/j.jmaa.2019.06.021, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa50766
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Doubly nonlocal Fisher–KPP equation: Speeds and uniqueness of traveling waves. Journal of Mathematical Analysis and Applications, 475(1), 94-122.
https://doi.org/10.1016/j.jmaa.2019.02.010, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48668
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., & Oliveira, M. (2019). An infinite dimensional umbral calculus. Journal of Functional Analysis, 276(12), 3714-3766.
https://doi.org/10.1016/j.jfa.2019.03.006, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49896
Finkelshtein, D. & Tkachov, P. (2019). An Ikehara-type theorem for functions convergent to zero. Comptes Rendus Mathematique, 357(4), 333-338.
https://doi.org/10.1016/j.crma.2019.04.007, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa49983
http://dx.doi.org/10.1016/j.crma.2019.04.007
Finkelshtein, D. & Tkachov, P. (2019). Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line. Applicable Analysis, 98(4), 756-780.
https://doi.org/10.1080/00036811.2017.1400537, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa36426
Finkelshtein, D., Kondratiev, Y., & Tkachov, P. (2019). Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations. Electronic Journal of Differential Equations, 2019(10), 1-27.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48385
https://ejde.math.txstate.edu/Volumes/2019/10/abstr.html
Daletskii, A. & Finkelshtein, D. (2018). Non-equilibrium Particle Dynamics with Unbounded Number of Interacting Neighbors. Journal of Statistical Physics, 173(6), 1639-1659.
https://doi.org/10.1007/s10955-018-2159-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa44748
http://dx.doi.org/10.1007/s10955-018-2159-x
Finkelshtein, D., Kondratiev, Y., Molchanov, S., & Tkachov, P. (2018). Global stability in a nonlocal reaction-diffusion equation. Stochastics and Dynamics, 18(05), 1850037
https://doi.org/10.1142/S0219493718500375, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa35092
http://www.worldscientific.com/worldscinet/sd
Finkelshtein, D. & Tkachov, P. (2018). Kesten's bound for subexponential densities on the real line and its multi-dimensional analogues. Advances in Applied Probability, 50(02), 373-395.
https://doi.org/10.1017/apr.2018.18, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa38336
Finkelshtein, D. & Tkachov, P. (2018). The hair-trigger effect for a class of nonlocal nonlinear equations. Nonlinearity, 31(6), 2442-2479.
https://doi.org/10.1088/1361-6544/aab1cb, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa38865
Finkelshtein, D. (2015). Around Ovsyannikov's method. Methods of Functional Analysis and Topology, 21(2), 134-150.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22265
http://www.imath.kiev.ua/~mfat/
Finkelshtein, D., Friesen, M., Hatzikirou, H., Kondratiev, Y., Krueger, T., & Kutoviy, O. (2015). Stochastic models of tumour development andrelated mesoscopic equations. Interdisciplinary Studies of Complex Systems, 7, 5-85.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa31246
http://iscs-journal.npu.edu.ua/article/view/56266/52444
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2015). Statistical dynamics of continuous systems: perturbative and approximative approaches. Arabian Journal of Mathematics, 4(4), 255-300.
https://doi.org/10.1007/s40065-014-0111-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18608
http://dx.doi.org/10.1007/s40065-014-0111-8
Finkelshtein, D., Kondratiev, Y., Kozitsky, Y., & Kutoviy, O. (2015). The statistical dynamics of a spatial logistic model and the related kinetic equation. Mathematical Models and Methods in Applied Sciences, 25(02), 343-370.
https://doi.org/10.1142/s0218202515500128, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19202
http://dx.doi.org/10.1142/s0218202515500128
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Oliveira, M. (2015). Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics, 158(1), 57-86.
https://doi.org/10.1007/s10955-014-1124-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18609
http://dx.doi.org/10.1007/s10955-014-1124-6
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., Molchanov, S., & Zhizhina, E. (2014). Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates. Russian Journal of Mathematical Physics, 21(4), 450-459.
https://doi.org/10.1134/s1061920814040037, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19725
http://dx.doi.org/10.1134/s1061920814040037
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Zhizhina, E. (2014). On an aggregation in birth-and-death stochastic dynamics. Nonlinearity, 27(6), 1105-1133.
https://doi.org/10.1088/0951-7715/27/6/1105, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18001
http://dx.doi.org/10.1088/0951-7715/27/6/1105
Ovaskainen, O., Finkelshtein, D., Kutoviy, O., Cornell, S., Bolker, B., & Kondratiev, Y. (2014). A general mathematical framework for the analysis of spatiotemporal point processes. Theoretical Ecology, 7(1), 101-113.
https://doi.org/10.1007/s12080-013-0202-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16784
http://dx.doi.org/10.1007/s12080-013-0202-8
Finkelshtein, D., KONDRATIEV, Y., & KUTOVIY, O. (2013). ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16(02), 1350014
https://doi.org/10.1142/s0219025713500148, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16775
http://dx.doi.org/10.1142/s0219025713500148
Finkelshtein, D., Kondratiev, Y., & Oliveira, M. (2013). Markov Evolutions and Hierarchical Equations in the Continuum. II: Multicomponent Systems. Reports on Mathematical Physics, 71(1), 123-148.
https://doi.org/10.1016/s0034-4877(13)60024-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16785
http://dx.doi.org/10.1016/s0034-4877(13)60024-5
Finkelshtein, D., Kondratiev, Y., & Kozitsky, Y. (2013). Glauber dynamics in continuum: A constructive approach to evolution of states. Discrete & Continuous Dynamical Systems - A, 33(4), 1431-1450.
https://doi.org/10.3934/dcds.2013.33.1431, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa15209
http://dx.doi.org/10.3934/dcds.2013.33.1431
Finkelshtein, D., Kondratiev, Y., & Oliveira, M. (2012). Glauber dynamics in the continuum via generating functionals evolution. Complex Analysis and Operator Theory, 6(4), 923-945.
https://doi.org/10.1007/s11785-011-0170-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16776
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2012). Correlation functions evolution for the Glauber dynamics in continuum. Semigroup Forum, 85(2), 289-306.
https://doi.org/10.1007/s00233-012-9409-z, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16777
http://dx.doi.org/10.1007/s00233-012-9409-z
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Zhizhina, E. (2012). An approximative approach for construction of the Glauber dynamics in continuum. Mathematische Nachrichten, 285(2-3), 223-235.
https://doi.org/10.1002/mana.200910248, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16778
http://dx.doi.org/10.1002/mana.200910248
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2012). Semigroup approach to birth-and-death stochastic dynamics in continuum. Journal of Functional Analysis, 262(3), 1274-1308.
https://doi.org/10.1016/j.jfa.2011.11.005, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa15210
http://dx.doi.org/10.1016/j.jfa.2011.11.005
Finkelshtein, D., KONDRATIEV, Y., & KUTOVIY, O. (2011). VLASOV SCALING FOR THE GLAUBER DYNAMICS IN CONTINUUM. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 14(04), 537-569.
https://doi.org/10.1142/s021902571100450x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16779
http://dx.doi.org/10.1142/s021902571100450x
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Lytvynov, E. (2011). Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit. Journal of Mathematical Physics, 52(11), 113301
https://doi.org/10.1063/1.3657345, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7543
http://dx.doi.org/10.1063/1.3657345
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Lytvynov, E. (2011). Binary jumps in continuum. I. Equilibrium processes and their scaling limits. Journal of Mathematical Physics, 52(6), 063304
https://doi.org/10.1063/1.3601118, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7542
http://dx.doi.org/10.1063/1.3601118
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2010). Vlasov scaling for stochastic dynamics of continuous systems. Journal of Statistical Physics, 141(1), 158-178.
https://doi.org/10.1007/s10955-010-0038-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16781
Finkelshtein, D., Kondratiev, Y., & Oliveira, M. (2009). Markov evolutions and hierarchical equations in the continuum. I: one-component systems. Journal of Evolution Equations, 9(2), 197-233.
https://doi.org/10.1007/s00028-009-0007-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16783
Finkelshtein, D. & Kondratiev, Y. (2009). Regulation mechanisms in spatial stochastic development models. Journal of Statistical Physics, 136(1), 103-115.
https://doi.org/10.1007/s10955-009-9764-7, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa16782
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2009). Individual Based Model with Competition in Spatial Ecology. SIAM Journal on Mathematical Analysis, 41(1), 297-317.
https://doi.org/10.1137/080719376, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa15212
http://dx.doi.org/10.1137/080719376
Finkelshtein, D., Lytvynov, E., Kondratiev, Y., & Oliveira, M. (n.d.) Finite difference calculus in the continuum. Ukrainian Mathematical Journal
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa68123
Finkelshtein, D., Lytvynov, E., Oliveira, M., Kuchling, P., & Kondratiev, Y. (n.d.) Analysis on the cone of discrete Radon measures. Pure and Applied Functional Analysis
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa66108

Penodau Llyfrau

Finkelshtein, D. & Oliveira, M. (2014). A Survey on Bogoliubov Generating Functionals for Interacting Particle Systems in the Continuum. Springer Proceedings in Mathematics & Statistics (pp. 161-177). Springer Berlin Heidelberg
https://doi.org/10.1007/978-3-642-54271-8_6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa18002
http://dx.doi.org/10.1007/978-3-642-54271-8_6

Goruchwyliaeth

Untitled (cyfredol)

PhD

Goruchwyliwr arall: Dr Angelica Pachon
Lie-like structures of the Sheffer group over a vector space. (cyfredol)

PhD

Goruchwyliwr arall: Prof Eugene Lytvynov
Mathematical analysis of singular Thomas-Fermi type models (cyfredol)

PhD

Goruchwyliwr arall: Prof Vitaly Moroz
Umbral calculus over a Hilbert space. (cyfredol)

PhD

Goruchwyliwr arall: Prof Eugene Lytvynov
Mathematical modelling of brain formation to map species variation and developmental malformations. (cyfredol)

PhD

Goruchwyliwr arall: Prof Elaine Crooks
Generalised Weyl algebras and Segal--Bargmann transform for the Meixner class of orthogonal polynomials (cyfredol)

PhD

Goruchwyliwr arall: Prof Eugene Lytvynov
Mathematical models of tumour growth: the beyond mean-field approach (cyfredol)

PhD

Goruchwyliwr arall: Prof Gibin Powathil
Thomas–Fermi Type Variational Problems With Low Regularity (cyfredol)

PhD

Goruchwyliwr arall: Prof Vitaly Moroz
Solutions to a class of nonlinearSchrodinger equations involving a nonlocal term (dyfarnwyd 2024)

PhD

Goruchwyliwr arall: Dr Carlo Mercuri

Goruchwyliwr arall: Prof Michael Edwards
Quasi-free states on algebra of multicomponent commutation relations (dyfarnwyd 2023)

PhD

Goruchwyliwr arall: Prof Eugene Lytvynov

Modiwlau a Addysgir

MA-365 Risk and Survival Models

This module will introduce students to sections 1, 2 and 4 of the Institute and Faculty of Actuaries CS2 syllabus. The module covers insurance risk modelling based on loss and compound distributions, time series and their applications, survival models and the estimations of their distributions and transition intensities, and future mortality projection.
MA-375 Dynamical Systems

An introduction to the concepts and principles of dynamical systems from the analytical perspective. The course starts with the difference between discrete- and continuous time dynamical systems. It describes then the basic object of dynamical systems for the classical first-order differential equations, considers planar linear and non-linear systems, their phase portraits and classification. Applications in Biology, Mechanics and Physics will be considered.
MA-M16 Probability and Statistics for Data Science

This module serves as an introduction to the concepts of probability and statistics required for Data Science. Both the theoretical concepts and practical examples will be explored throughout the module. Particular attention will be paid to applications using a programming language.
MA-M65 Risk and Survival Models

This module will introduce students to sections 1, 2 and 4 of the Institute and Faculty of Actuaries CS2 syllabus. The module covers insurance risk modelling based on loss and compound distributions, time series and their applications, survival models and the estimations of their distributions and transition intensities, and future mortality projection.
MA-M75 Dynamical Systems

An introduction to the concepts and principles of dynamical systems from the analytical perspective. The course starts with the difference between discrete- and continuous time dynamical systems. It describes then the basic object of dynamical systems for the classical first-order differential equations, considers planar linear and non-linear systems, their phase portraits and classification. Applications in Biology, Mechanics and Physics will be considered.

Hanes Gyrfa

Athro Cyswllt, Prifysgol Abertawe

Mawrth 2020 - Presennol
Uwch-ddarlithydd, Prifysgol Abertawe

Mawrth 2017 - Chwefror 2020
Darlithydd, Prifysgol Abertawe

Medi 2013 - Chwefror 2017
Cymrawd Gwyddonol, Prifysgol Bielefeld (Yr Almaen)

Mawrth 2013 - Awst 2013
Cymrawd Ymchwil Uwch/Iau , Sefydliad Mathemateg, Kyiv (Yr Wcráin)

Rhagfyr 2003 - Chwefror 2013

Dr Dmitri Finkelshtein

Rhif ffôn

Cyfeiriad ebost

LinkedIn Account

Dolenni Ymchwil

Trosolwg

Meysydd Arbenigedd

Cyhoeddiadau

Uchafbwyntiau Ymchwil

Holl Ymchwil

Erthyglau Cylchgronau

Penodau Llyfrau

Goruchwyliaeth

Untitled (cyfredol)

Lie-like structures of the Sheffer group over a vector space. (cyfredol)

Mathematical analysis of singular Thomas-Fermi type models (cyfredol)

Umbral calculus over a Hilbert space. (cyfredol)

Mathematical modelling of brain formation to map species variation and developmental malformations. (cyfredol)

Generalised Weyl algebras and Segal--Bargmann transform for the Meixner class of orthogonal polynomials (cyfredol)

Mathematical models of tumour growth: the beyond mean-field approach (cyfredol)

Thomas–Fermi Type Variational Problems With Low Regularity (cyfredol)

Solutions to a class of nonlinearSchrodinger equations involving a nonlocal term (dyfarnwyd 2024)

Quasi-free states on algebra of multicomponent commutation relations (dyfarnwyd 2023)

Modiwlau a Addysgir

MA-365 Risk and Survival Models

MA-375 Dynamical Systems

MA-M16 Probability and Statistics for Data Science

MA-M65 Risk and Survival Models

MA-M75 Dynamical Systems

Hanes Gyrfa

Athro Cyswllt, Prifysgol Abertawe

Uwch-ddarlithydd, Prifysgol Abertawe

Darlithydd, Prifysgol Abertawe

Cymrawd Gwyddonol, Prifysgol Bielefeld (Yr Almaen)

Cymrawd Ymchwil Uwch/Iau , Sefydliad Mathemateg, Kyiv (Yr Wcráin)