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Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain

Transactions of the American Mathematical Society, 2022-11, Vol.375 (11), p.8083-8099

Salins, Michael

2022

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Uniform large deviation principles for Banach space valued stochastic evolution equations

Transactions of the American Mathematical Society, 2019-12, Vol.372 (12), p.8363-8421

2019

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Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

Electronic journal of probability, 2022-01, Vol.27 (none)

Salins, Michael

2022

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Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain

Stochastics and dynamics, 2022-08, Vol.22 (5)

Salins, Michael

2022

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Regularity of the law of solutions to the stochastic heat equation with non-Lipschitz reaction term

Stochastic processes and their applications, 2024-02, Vol.168, p.104263, Article 104263

2024

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Equivalences and counterexamples between several definitions of the uniform large deviations principle

Probability surveys, 2019-01, Vol.16 (none)

Salins, Michael

2019

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Smoluchowski–Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension

Stochastic partial differential equations : analysis and computations, 2019-03, Vol.7 (1), p.86-122

Salins, Michael

2019

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SMOLUCHOWSKI–KRAMERS APPROXIMATION AND LARGE DEVIATIONS FOR INFINITE-DIMENSIONAL NONGRADIENT SYSTEMS WITH APPLICATIONS TO THE EXIT PROBLEM

The Annals of probability, 2016-07, Vol.44 (4), p.2591-2642

2016

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On the Smoluchowski–Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field

Stochastic processes and their applications, 2017-01, Vol.127 (1), p.273-303

2017

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Uniform Large Deviations for a Class of Burgers-Type Stochastic Partial Differential Equations in any Space Dimension

Potential analysis, 2023, Vol.58 (1), p.181-201

2023

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Markov processes with spatial delay: Path space characterization, occupation time and properties

Stochastics and dynamics, 2017-12, Vol.17 (6), p.1750042

2017

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Smoluchowski–Kramers approximation and large deviations for infinite dimensional gradient systems

Asymptotic analysis, 2014, Vol.88 (4), p.201-215

2014

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Metastability and exit problems for systems of stochastic reaction–diffusion equations

The Annals of probability, 2021-09, Vol.49 (5)

2021

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Rare event simulation via importance sampling for linear SPDE’s

Stochastic partial differential equations : analysis and computations, 2017-12, Vol.5 (4), p.652-690

2017

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On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior

Discrete and continuous dynamical systems. Series A, 2017, Vol.37 (1), p.33-76

2017

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Large deviations and averaging for systems of slow-fast stochastic reaction–diffusion equations

Stochastic partial differential equations : analysis and computations, 2019-12, Vol.7 (4), p.808-874

2019

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Moderate deviations for systems of slow–fast stochastic reaction–diffusion equations

Stochastic partial differential equations : analysis and computations, 2023-06, Vol.11 (2), p.503-598

2023

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Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime

Stochastic partial differential equations : analysis and computations, 2024, Vol.12 (4), p.2081-2150

2024

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On Dynamical Systems Perturbed by a Null-Recurrent Fast Motion: The Continuous Coefficient Case with Independent Driving Noises

Journal of theoretical probability, 2016-09, Vol.29 (3), p.1083-1099

2016

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An Improved Uniqueness Result for a System of SDE Related to the Stochastic Wave Equation

Journal of Stochastic Analysis, 2020-03, Vol.1 (2)

2020

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On uniqueness and blowup properties for a class of second order SDEs

Electronic journal of probability, 2017-01, Vol.22 (none)

2017

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Asymptotic problems for stochastic partial differential equations

Salins, Michael

2015

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Digital Health: Tracking Physiomes and Activity Using Wearable Biosensors Reveals Useful Health-Related Information

PLoS biology, 2017-01, Vol.15 (1), p.e2001402

2017

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Longitudinal multi-omics of host-microbe dynamics in prediabetes

Nature (London), 2019-05, Vol.569 (7758), p.663-671

2019

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Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain

Uniform large deviation principles for Banach space valued stochastic evolution equations

Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain

Regularity of the law of solutions to the stochastic heat equation with non-Lipschitz reaction term

Equivalences and counterexamples between several definitions of the uniform large deviations principle

Smoluchowski–Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension

SMOLUCHOWSKI–KRAMERS APPROXIMATION AND LARGE DEVIATIONS FOR INFINITE-DIMENSIONAL NONGRADIENT SYSTEMS WITH APPLICATIONS TO THE EXIT PROBLEM

On the Smoluchowski–Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field

Uniform Large Deviations for a Class of Burgers-Type Stochastic Partial Differential Equations in any Space Dimension

Markov processes with spatial delay: Path space characterization, occupation time and properties

Smoluchowski–Kramers approximation and large deviations for infinite dimensional gradient systems

Metastability and exit problems for systems of stochastic reaction–diffusion equations

Rare event simulation via importance sampling for linear SPDE’s

On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior

Large deviations and averaging for systems of slow-fast stochastic reaction–diffusion equations

Moderate deviations for systems of slow–fast stochastic reaction–diffusion equations

Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime

On Dynamical Systems Perturbed by a Null-Recurrent Fast Motion: The Continuous Coefficient Case with Independent Driving Noises

An Improved Uniqueness Result for a System of SDE Related to the Stochastic Wave Equation

On uniqueness and blowup properties for a class of second order SDEs

Asymptotic problems for stochastic partial differential equations

Digital Health: Tracking Physiomes and Activity Using Wearable Biosensors Reveals Useful Health-Related Information

Integrative Personal Omics Profiles during Periods of Weight Gain and Loss

Longitudinal multi-omics of host-microbe dynamics in prediabetes

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