COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Probability and Stochastic Processes

Probability is a branch of mathematics that studies the likelihood of an event. As such, it is the language for uncertainty quantification in statistics, statistical machine learning, data analysis, quantum mechanics, and other fields. Stochastic processes, on the other hand, is a sub-field of probability that describes probabilistic systems that evolve in time. Our group at WSU works on multivariate regular/rapid variation, extreme value theory, concentration of measure and limiting laws under dependence, and stochastic differential equations with applications in mathematical biology, physics, and finance.

Chencheng Cai

https://www.math.wsu.edu/faculty/ccai
chencheng.cai@wsu.edu
Neill 405
Causal inference and experimental design under interference; Time series analysis; high-dimensional matrix decomposition; Monte Carlo methods.
Statistics and Probability
Data Analytics
Probability and Stochastic Processes
Sample Publications
Optimizing Randomized and Deterministic Saturation Designs under Interference
KoPA: Automated Kronecker Product Approximation

Xiongzhi Chen

http://math.wsu.edu/faculty/xchen/
xiongzhi.chen@wsu.edu
Neill 230
Simultaneous inference, theoretical foundation of analysis of non-Euclidean data and of deep learning models, statistics of stochastic differential equations, and harmonic analysis.
Applied Mathematics
Statistics and Probability
Probability and Stochastic Processes
Sample Publications
Uniformly consistently estimating the proportion of false null hypotheses via Lebesgue–Stieltjes integral equations
A weighted FDR procedure under discrete and heterogeneous null distributions

Daryl DeFord

http://www.math.wsu.edu/faculty/ddeford/
daryl.deford@wsu.edu
Neill 328
My research focuses on applications of combinatorial and algebraic methods to the analysis of social data including political redistricting and social network analysis. Recent projects include the following with more details on Applied Mathematics
Statistics and Probability
Pure Mathematics
Data Analytics
Probability and Stochastic Processes
Number Theory and Combinatorics
Sample Publications
Maximum a Posteriori Inference of Random Dot Product Graphs via Conic Programming
ReCombination: A family of Markov Chains for Redistricting

Alex Dimitrov

https://labs.wsu.edu/alex-dimitrov/
alex.dimitrov@wsu.edu
Vanc
Information-theoretic and probabilistic approaches to neural computing and cognitive processes; non-linear neuronal models; chaotic dynamical systems; non-linear signal processing and prediction; systems identification; neural-based intelligent agents. Neuromorphic computing.
Applied Mathematics
Mathematical Biology
Data Analytics
Probability and Stochastic Processes
Sample Publications
Symmetry-Breaking Bifurcations of the Information Bottleneck and Related Problems.
Mapping and Validating a Point Neuron Model on Intel’s Neuromorphic Hardware Loihi

Krishna (Assoc Chair) Jandhyala

http://www.math.wsu.edu/faculty/jand/
jandhyala@wsu.edu
Neill 407
The problem of multiple change-points in time-series with applications to environmental data.
Statistics and Probability
Probability and Stochastic Processes
Sample Publications

Bala Krishnamoorthy

http://www.math.wsu.edu/faculty/bkrishna/
kbala@wsu.edu
Vanc
Applied algebraic topology, Geometric measure theory,Mathematical aspects of 3D printing,Discrete and nonlinear optimization,Geometry and topology in physical chemistry,Computational models for surgical and biomedical applications,Computational biology.
Applied Mathematics
Statistics and Probability
Mathematical Biology
Optimization and Data Analytics
Data Analytics
Probability and Stochastic Processes
Analysis and PDEs
Geometry and Topology
Sample Publications
Optimal homology and linear programming
Continuous toolpath planning in 3D printing

Haijun Li

http://www.math.wsu.edu/math/faculty/lih/
liklu@wsu.edu
Neill 317
Copula Theory for Multivariate Extremes, Risk and Choquet Capacities, Free Probability under Group-Invariance
Statistics and Probability
Pure Mathematics
Mathematical Finance
Probability and Stochastic Processes
Sample Publications
Tail dependence functions and vine copulas
Orthant tail dependence of multivariate extreme value distributions

Nikolay Strigul

http://directory.vancouver.wsu.edu/people/nikolay-strigul
nick.strigul@wsu.edu
Vanc
Individual-based models, forest dynamics, ecotoxicology.
Applied Mathematics
Mathematical Biology
Probability and Stochastic Processes
Sample Publications

Xueying/Snow Wang

http://www.math.wsu.edu/faculty/xueying/
xueying.wang@wsu.edu
Neill 201
Integrating techniques from the fields of dynamical systems, stochastic processes and statistics to develop and analyze mathematical models. Application areas: (a) computational neuroscience; (b) infectious disease modeling; (c) population ecology.
Applied Mathematics
Statistics and Probability
Mathematical Biology
Optimization and Data Analytics
Probability and Stochastic Processes
Analysis and PDEs
Sample Publications
A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change
Patterns of synchronization in 2D networks of inhibitory neurons

Nikos Voulgarakis

http://www.math.wsu.edu/faculty/nvoul/index.html
n.voulgarakis@wsu.edu
Neill 325
Nonlinear Dynamics, Stochastic Processes, Fluid Dynamics at small scales, Mathematical Biology and Biophysics
Applied Mathematics
Mathematical Biology
Fluid and Solid Mechanics
Probability and Stochastic Processes
Sample Publications
Stochastic pursuit-evasion curves for foraging dynamics
Emergent Criticality in Coupled Boolean Networks
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