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Jan Wehr
Professor, Mathematics | Member of the Graduate Faculty | Professor, Applied Mathematics - GIDP
Mathematics
Map Page
Research Area
quantum mechanics,
stochastic processes,
statistical physics,
homogenization,
stochastic differential equations,
brownian motion,
statistical mechanics,
dynamical systems,
probability theory,
mathematical physics
Grants
(5)
Mathematics of Open Quantum Systems
2021
·
$91.2K
·
External
Principal Investigator (PI)
quantum mechanics,
mathematics,
open systems,
quantum information,
mathematical physics
Mathematical Physics of Open Systems
2019
·
$370K
·
External
Principal Investigator (PI)
mathematical physics,
open systems,
quantum mechanics,
dynamical systems,
statistical mechanics
Mathematics of Noise and Disorder in Classical and Quantum Systems
2016
·
$385K
·
External
Principal Investigator (PI)
mathematics,
noise,
disorder,
classical systems,
quantum systems
Mathematics of Noisy and Disordered Systems
2013
·
$250.2K
·
External
Principal Investigator (PI)
probability theory,
statistical physics,
random processes,
chaos theory,
network science
Randomness in Physical Systems
2010
·
$206.8K
·
External
Principal Investigator (PI)
randomness,
physical systems,
quantum mechanics,
chaos theory,
probability theory
Publications
(73)
Recent
Equations driven by fast-oscillating functions of a Wiener process
2024
stochastic differential equations,
wiener process,
fast oscillating functions
Asymptotic Quantum State Discrimination for Mixtures of Unitarily Related States
2024
quantum computing,
quantum state discrimination,
unitarily related states,
asymptotic analysis,
mixtures of states
Nonlinear functionals of master equation unravelings
2024
stochastic processes,
quantum mechanics,
mathematical modeling,
complex systems,
statistical physics
Telling different unravelings apart via nonlinear quantum-trajectory averages
2023
quantum physics,
nonlinear dynamics,
quantum mechanics,
measurement theory,
statistical mechanics
Quantum dynamics of a Bose polaron in a d dimensional Bose-Einstein condensate
2021
quantum dynamics,
bose polaron,
d dimensional,
bose-einstein condensate,
quantum mechanics
Poisson stochastic master equation unravellings and the measurement problem: a quantum stochastic calculus perspective
2020
quantum mechanics,
stochastic processes,
measurement problem,
master equation,
stochastic calculus
Langevin equations in the small-mass limit: Higher order approximations
2020
stochastic processes,
numerical methods,
statistical mechanics,
nonlinear dynamics,
approximation theory
Overdamped dynamics of a Brownian particle levitated in a Paul trap
2020
brownian motion,
particle dynamics,
paul trap,
overdamped dynamics,
levitation
Homogenization for Generalized Langevin Equations with Applications to Anomalous Diffusion
2020
homogenization,
langevin equations,
anomalous diffusion,
generalized equations,
applications
An Averaging Approach to the Smoluchowski–Kramers Approximation in the Presence of a Varying Magnetic Field
2020
stochastic processes,
magnetic fields,
kinetic theory,
mathematical physics,
numerical methods
Courses
(18)
Theory of Probability
Applied Stochastic Processes
Stochastic Processes
Banach and Hilbert Spaces
Partial Differential Equations
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$1.3M / $1.3M Funding
4+ Grants
70+ Publications
10+ Courses