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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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