Dr Kristian Evans

Athro Cyswllt

Mathematics

k.evans@abertawe.ac.uk

Siaradwr Cymraeg Rhugl

321
Trydydd Llawr
Y Ffowndri Gyfrifiadol
Campws y Bae

Ar gael ar gyfer Goruchwyliaeth Ôl-raddedig

Trosolwg

Mae fy ymchwil yn ymdrin â Dadansoddi a Thebygolrwydd, yn benodol o safbwynt gweithredyddion ffug-ddifferol a phrosesau sy’n defnyddio mathau Levy. Rwy’n gydawdur (gyda Niels Jacob) cyfres o werslyfrau Dadansoddi o’r enw A Course in Analysis. Yn ystod y blynyddoedd diwethaf, rwy wedi mwynhau datblygu’r ddarpariaeth addysgu newydd ar gyfer Ystadegau yn yr Adran Fathemateg. Fodd bynnag, rwy wedi dysgu hefyd ystod eang o bynciau mewn Mathemateg, gan gynnwys Dadansoddi Cymhleth. Mae gennyf ddiddordeb byw mewn addysgu mewn ffordd gynhwysol sy’n ymgysylltu â myfyrwyr ac rwy’n hoffi rhannu arferion da lle y bo’n briodol. Rwy’n cydlynu modiwl prosiect y flwyddyn olaf ac yn Ddirprwy Gyfarwyddwr Asesu Rhaglenni.

Cyhoeddiadau

Uchafbwyntiau Ymchwil

Evans, K. & WILLIAMS, A. (2024). A Tool to Visualise and Interact with Probability Density Functions - Development and Case Study. MSOR Connections, 23(1), 15-28.
https://doi.org/10.21100/msor.v23i1.1504, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa67698
Evans, K. & Jacob, N. (2022). Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators. In A.M. Candela, M. Cappelletti Montano, E. Mangino (Ed.), Trends in Mathematics (pp. 333-362). Springer International Publishing
https://doi.org/10.1007/978-3-031-20021-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64994
https://link.springer.com/chapter/10.1007/978-3-031-20021-2_17
Evans, K. & Jacob, N. (2022). On Non-negative Solutions to Space-Time Partial Differential Equations of Higher Order. In Springer Proceedings in Mathematics and Statistics (pp. 85-107). Springer Nature Singapore.
https://doi.org/10.1007/978-981-19-4672-1_6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59047
Evans, K., Fry, H., & Jacob, N. (2021). Fundamental solutions in $\psi$-Bessel potential spaces of certain generators of transient Lévy processes. Revue Roumaine Mathematiques Pures et Appliquees, 66(1), 157-177.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55969
http://imar.ro/journals/Revue_Mathematique/php/2021/Rrc21_1.php
Evans, K. & Jacob, N. (2020). A Course in Analysis Vol. V: Functional Analysis, Some Operator Theory, Theory of Distributions. World Scientific.
https://doi.org/https://doi.org/10.1142/11695, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53554
https://www.worldscientific.com/worldscibooks/10.1142/11695

Holl Ymchwil

Erthyglau Cylchgronau

Evans, K. & WILLIAMS, A. (2024). A Tool to Visualise and Interact with Probability Density Functions - Development and Case Study. MSOR Connections, 23(1), 15-28.
https://doi.org/10.21100/msor.v23i1.1504, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa67698
Evans, K., Fry, H., & Jacob, N. (2021). Fundamental solutions in $\psi$-Bessel potential spaces of certain generators of transient Lévy processes. Revue Roumaine Mathematiques Pures et Appliquees, 66(1), 157-177.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55969
http://imar.ro/journals/Revue_Mathematique/php/2021/Rrc21_1.php
Evans, K. & Jacob, N. (2020). On Adjoint Additive Processes. Probability and Mathematical Statistics, 40(2), 205-223.
https://doi.org/10.37190/0208-4147.40.2.2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa48685
https://www.math.uni.wroc.pl/~pms/publications.php?nr=40.2
Evans, K. (2018). An Overview of the Pingo Audience Response System in Undergraduate Mathematics and Statistics Teaching. MSOR Connections, 17(1), 25
https://doi.org/10.21100/msor.v17i1.828, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa45005
https://journals.gre.ac.uk/index.php/msor/article/view/828
Evans, K., Jacob, N., & Shen, C. (2015). SOME FELLER SEMIGROUPS ON C_∞(R^n×Z^m) GENERATED BY PSEUDO-DIFFERENTIAL OPERATORS. Mathematika, 61(2), 402-413.
https://doi.org/10.1112/S002557931500011X, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22138
Evans, K., Jacob, N., & Morris, O. (2014). On a class of Pseudo-Differential Operators on R^n x Z^m generating Feller Semigroups. Rev. Roumaine Math. Pures Appl., 59, 55-75.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19855
Evans, K. & Jacob, N. (2012). Q-matrices as pseudo-differential operators with negative definite symbols. Mathematische Nachrichten, 286(5-6), 631-640.
https://doi.org/10.1002/mana.201100217, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19853
Neate, A. & Evans, K. (2012). Mathematical Presentation and Communication Skills within the Core Curriculum. Further Work Developing Graduate Skills in HE Mathematics Programmes, 12-13.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43214
http://www.mathcentre.ac.uk/resources/uploaded/furthergradskills.pdf
Evans, K. & Jacob, N. (2011). Variable order subordination in the sense of Bochner and pseudo-differential operators. Mathematische Nachrichten, 284(8-9), 987-1002.
https://doi.org/10.1002/mana.200810246, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa8059
Evans, K. & Jacob, N. (2007). Feller Semigroups Obtained by Variable Order Subordination. Revista Matemática Complutense, 20(2), 293-307.
https://doi.org/10.5209/rev_REMA.2007.v20.n2.16482, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19852
http://www.springer.com/mathematics/journal/13163

Llyfrau Awdurol

Evans, K. & Jacob, N. (2020). A Course in Analysis Vol. V: Functional Analysis, Some Operator Theory, Theory of Distributions. World Scientific.
https://doi.org/https://doi.org/10.1142/11695, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53554
https://www.worldscientific.com/worldscibooks/10.1142/11695
Jacob, N. & Evans, K. (2018). A Course in Analysis Vol. IV: Fourier Analysis, Ordinary Differential Equations, Calculus of Variations World Scientific.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43213
https://www.worldscientific.com/worldscibooks/10.1142/11078
Jacob, N. & Evans, K. (2017). A Course in Analysis Vol. III: Measure and Integration Theory, Complex-Valued Functions of a Complex Variable World Scientific.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa35868
http://www.worldscientific.com/worldscibooks/10.1142/10548
Jacob, N. & Evans, K. (2016). A Course in Analysis. Vol II: Differentiation and Integration of Functions of Several Variables, Vector Calculus World Scientific.
https://doi.org/10.1142/10059, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa29669
http://www.worldscientific.com/worldscibooks/10.1142/10059

Penodau Llyfrau

Evans, K. & Jacob, N. (2022). Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators. In A.M. Candela, M. Cappelletti Montano, E. Mangino (Ed.), Trends in Mathematics (pp. 333-362). Springer International Publishing
https://doi.org/10.1007/978-3-031-20021-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64994
https://link.springer.com/chapter/10.1007/978-3-031-20021-2_17

Cyfraniadau Cynadleddau

Evans, K. & Jacob, N. (2022). On Non-negative Solutions to Space-Time Partial Differential Equations of Higher Order. In Springer Proceedings in Mathematics and Statistics (pp. 85-107). Springer Nature Singapore.
https://doi.org/10.1007/978-981-19-4672-1_6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59047

Cynnyrch Ymchwil Arall

Jacob, N. & Evans, K. (2015). A Course in Analysis Vol. I: Introductory Calculus, Analysis of Functions of One Real Variable
https://doi.org/10.1142/9625, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa23505
http://dx.doi.org/10.1142/9625

Modiwlau a Addysgir

MA-292 Statistical Data Analysis

This module concentrates on non-parametric statistics and techniques used to treat categorical data. In particular, the module covers a variety of statistical tests, criteria for choosing appropriate tests and the use of statistical software in order to deal with large data sets.
MA-301 Complex Analysis

The module approaches the theory of complex analytic functions; including concepts of Cauchy-Riemann equations, power series, Laurent series and residue calculus.
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.
MAW301 Dadansoddi Cymhlyg

Mae'r modiwl hwn yn ystyried y theori o ffwythiannau analytig cymhlyg; gan gynnwys cysyniadau o hafaliadau Cauchy-Riemann, cyfresi pwer, cyfresi Laurent a chalcwlws gweddill.

Setiau Data ar gyfer Ymarfe

Gellir defnyddio’r setiau data isod i ymarfer (rhai ffug ydyn nhw) ar y cyd â’r arddangosiadau ar fy modiwl Ystadegau Cymhwysol gan ddefnyddio’r sianel SPSS ar YouTube.

Data Pwysedd Gwaed

Data Economaidd

Data Premiymau Yswiriant

Data Cyfraddau Morgeisi

Data Taldra Myfyrwyr

Dr Kristian Evans

Cyfeiriad ebost

Welsh language proficiency

Trosolwg

Uchafbwyntiau Ymchwil

Holl Ymchwil

MA-292 Statistical Data Analysis

MA-301 Complex Analysis

MA-M16 Probability and Statistics for Data Science

MAW301 Dadansoddi Cymhlyg