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Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem
In this paper, we study a two-point boundary value problem consisting of the heat equation on the open interval (0,1) with boundary conditions which...
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Paths Clustering and an Existence Result for Stochastic Vortex Systems
We prove, via a pathwise analysis, an existence result for stochastic differential equations with singular coefficients that govern stochastic vortex...
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Limiting Dynamics for Spherical Models of Spin Glasses at High Temperature
We analyze the coupled non-linear integro-differential equations whose solution is the thermodynamical limit of the empirical correlation and...
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Limiting Dynamics for Spherical Models of Spin Glasses at High Temperature
We analyze the coupled non-linear integro-differential equations whose solution is the thermodynamical limit of the empirical correlation and...
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Two Level Systems Driven by a Stochastic Perturbation
Here we consider a two level system driven by an external harmonic field whose amplitude is perturbed by a white noise term. In the limit of small...
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Stochastic Correction to the Semiclassical Evolution of Quantum Wave Packets
We represent the quantum evolution as a stochastic classical evolution. The deviation of the quantum wave packet from the classical trajectory is...