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Courses
- DSCDynamical Systems and Chaos
- SPStochastic Processes
- TMATopics in Modern Analysis
- TMPTopics in Mathematical Physics
- SDEStochastic Differential Equations
- PDEPartial Differential Equations
- IMPIntroduction to Mathematical Physics
- CSAMCase Studies in Applied Mathematics
- ASPApplied Stochastic Processes
- TAMTopics in Applied Mathematics
- IODEIntroduction to Ordinary Differential Equations
- TPTheory of Probability
- DAPKTData Analysis and Probability for K-8 Teachers
- TGTopology-Geometry
- MLMathematical Logic
- BHSBanach and Hilbert Spaces
Grants
- Mathematical Physics of Open Systems
Principal Investigator (PI)
2019
$370.0K
Active - Mathematics of Open Quantum Systems
Principal Investigator (PI)
2021
$91.2K
- Mathematics of Noise and Disorder in Classical and Quantum Systems
Principal Investigator (PI)
2016
$385.0K
- Mathematics of Noisy and Disordered Systems
Principal Investigator (PI)
2013
$250.2K
- Randomness in Physical Systems
Principal Investigator (PI)
2010
$206.8K
Publications (70)
Recent
- Quantum dynamics of a Bose polaron in a d -dimensional Bose-Einstein condensate
2021
- Homogenization for Generalized Langevin Equations with Applications to Anomalous Diffusion
2020
- Poisson stochastic master equation unravellings and the measurement problem: a quantum stochastic calculus perspective
2020
- Overdamped dynamics of a Brownian particle levitated in a Paul trap
2020
- Langevin equations in the small-mass limit: Higher order approximations
2020
- An Averaging Approach to the Smoluchowski–Kramers Approximation in the Presence of a Varying Magnetic Field
2020
- A small delay and correlation time limit of stochastic dierential delay equations with state-dependent colored noise
2019
- A homogenization theorem for Langevin systems with an application to Hamiltonian dynamics
2019
- On the Small Mass Limit of Quantum Brownian Motion with Inhomogeneous Damping and Diusion
2018
- Homogenization of Dissipative, Noisy, Hamiltonian Dynamics. Submitted to Stochastic Analysis (2017)
2018
- Tuning phototactic robots with sensorial delays
2018
- Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis
2018
- Homogenization of dissipative, noisy, Hamiltonian dynamics
2017
- Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation
2016
- Uniqueness of translation-covariant zero-temperature metastate in disordered Ising ferromagnets. Journal of Statistical Physics
2016
- Small mass limit of a Langevin equation on a manifold
2016
- Engineering Sensorial Delay to Control Phototaxis and Emergent Collective Behaviors
2016
- McDaniel, A., Duman, O., Volpe, G., Wehr, J. An SDE approximation for stochastic differential delay equations with colored state-dependent noise.
2016
- Order-from-disorder and critical scalings of spontaneous magnetization in random-field quantum spin systems
2016
- Lindblad model of quantum Brownian motion
2016
- Effective drifts in dynamical systems with multiplicative noise: A review of recent progress
2016
- Zero-temperature fluctuations in short-range spin glasses
2016
- Quantum Brownian motion with inhomogeneous damping and di usion
2015
- Erratum: Classical spin models with broken symmetry: Random-field-induced order and persistence of spontaneous magnetization in the presence of a random field (Physical Review B - Condensed Matter and Materials Physics (2014) 90 (174408))
2015
- The Smoluchowski-Kramers limit of stochastic di erential equations with arbitrary state-dependent friction
2015
- Lifschitz Tails for Random Schrdinger Operator in Bernoulli Distributed Potentials
2015
- Classical spin models with broken symmetry: Random-field-induced order and persistence of spontaneous magnetization in the presence of a random field A. Bera, D. Rakshit, M. Lewenstein, A. Sen(De), U. Sen, J. Wehr Phys. Rev. B 90, 174408 (2014)
2014
- Hottovy, S., McDaniel, A., Volpe, G., Wehr, J. (2014). The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
2014
- Fluctuation Bounds For Interface Free Energies in Spin Glasses
2014
- Geodesics of Random Riemannian Metrics
2014
- Ground state energy of mean field model of interacting bosons in Bernoulli potential
2013
- Stratonovich-to-Itô transition in noisy systems with multiplicative feedback
2013
- The transition from ergodic to explosive behavior in a family of stochastic differential equations
2012
- Thermophoresis of Brownian particles driven by coloured noise
2012
- The glass to superfluid transition in dirty bosons on a lattice
2012
- Ground State Energy of the One-Dimensional Discrete Random Schrödinger Operator with Bernoulli Potential
2012
- Noise-Induced Drift in Stochastic Differential Equations with Arbitrary Friction and Diffusion in the Smoluchowski-Kramers Limit
2012
- Volpe etal. Reply
2011
- Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles
2011
- Force measurement in the presence of Brownian noise: Equilibrium- distribution method versus drift method
2011
- Comment on Influence of Noise and Force Measurements Reply
2011
- A shape theorem for Riemannian first-passage percolation
2010
- Disorder-induced order in quantum XY chains
2010
- Influence of noise on force measurements
2010
- Entanglement and quantum groups
2009
- Enhancement of entanglement percolation in quantum networks via lattice transformations
2009
- Disorder-induced phase control in superfluid Fermi-Bose mixtures
2009
- Thermal noise suppression: How much does it cost?
2009
- Disorder-induced order in two-component Bose-Einstein condensates
2008
- Entanglement distribution in pure-state quantum networks
2008
- Entanglement of positive definite functions on compact groups
2008
- Breakdown of homogenization for the random Hamilton-Jacobi equations
2008
- Finite time approach to equilibrium in a fractional Brownian velocity field
2007
- Scaling limits of waves in convex scalar conservation laws under random initial perturbations
2006
- Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
2006
- Hilbert's 17th problem and the quantumness of states
2005
- Central limit theorems for nonlinear hierarchical sequences of random variables
2001
- Computer-assisted proofs for fixed point problems in Sobolev spaces
2000
- Absence of geodesics in first-passage percolation on a half-plane
1998
- On the number of infinite geodesics and ground states in disordered systems
1997
- A lower bound on the variance of conductance in random resistor networks
1997
- A strong law of large numbers for iterated functions of independent random variables
1997
- Non-Gaussian Limiting Behavior of the Percolation Threshold in a Large System
1997
- Front speed in the Burgers equation with a random flux
1997
- White noise perturbation of the viscous shock fronts of the burgers equation
1996
- The probability distribution of the percolation threshold in a large system
1995
- Fluctuations of extensive functions of quenched random couplings
1990
- Rounding effects of quenched randomness on first-order phase transitions
1990
- Erratum: Rounding of first-order phase transitions in systems with quenched disorder (Physical Review Letters)
1990
- Rounding of first-order phase transitions in systems with quenched disorder
1989
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