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Bibliographic Details
Main Authors:	Cao, Qiyong, Gao, Hongjun, Wei, Wei
Format:	Preprint
Published:	2025
Subjects:	Probability Dynamical Systems
Online Access:	https://arxiv.org/abs/2510.00954
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Invariance principles for G-brownian-motion-driven stochastic differential equations and their applications to G-stochastic control
by: Peng, Xiaoxiao, et al.
Published: (2023)

Hypoelliptic entropy dissipation for stochastic differential equations
by: Feng, Qi, et al.
Published: (2021)

Central limit theorem for periodic solutions of stochastic differential equations driven by Levy noise
by: Deng, Xinying, et al.
Published: (2024)

Limiting behavior of inertial manifolds for stochastic differential equations driven by non-Gaussian Levy noise
by: Wu, Longyu, et al.
Published: (2025)

Global density equations for interacting particle systems with stochastic resetting: from overdamped Brownian motion to phase synchronization
by: Bressloff, Paul C
Published: (2024)

The random periodic solutions for McKean-Vlasov stochastic differential equations
by: Bao, Jianhai, et al.
Published: (2024)

Caputo mean-square attractors for non-autonomous stochastic differential equations
by: Zhang, Lijuan, et al.
Published: (2026)

A theory of generalised coordinates for stochastic differential equations
by: Da Costa, Lancelot, et al.
Published: (2024)

Local first integrals for stochastic differential equations
by: Huang, Kaiyin, et al.
Published: (2024)

Poisson stability of solutions for stochastic evolution equations driven by fractional Brownian motion
by: Zhang, Xinze, et al.
Published: (2024)

Data-driven approximation of transfer operators for mean-field stochastic differential equations
by: Ioannou, Eirini, et al.
Published: (2025)

Extreme Value theory and Poisson statistics for discrete time samplings of stochastic differential equations
by: Flandoli, F., et al.
Published: (2023)

Invariance of Gaussian RKHSs under Koopman operators of stochastic differential equations with constant matrix coefficients
by: Philipp, Friedrich, et al.
Published: (2024)

The Onsager-Machlup functional for distribution dependent SDEs driven by fractional Brownian motion
by: Zhu, Yanbin, et al.
Published: (2025)

Random periodic solutions for stochastic differential equations with non-uniform dissipativity
by: Bao, Jianhai, et al.
Published: (2022)

Uniform measure attractors of the distribution-dependent 2D stochastic Navier-Stokes equations driven by nonlinear noise
by: Zhang, Jiangwei, et al.
Published: (2025)

Rough differential equations driven by TFBM with Hurst index $H\in (\frac{1}{4}, \frac{1}{3})$
by: Zhang, Lijuan, et al.
Published: (2026)

Ergodic theorem for the differential equations with interaction
by: Dorogovtsev, A. A., et al.
Published: (2025)

Existence and uniqueness for the solutions of non-autonomous stochastic differential algebraic equations with locally Lipschitz coefficients
by: Serea, Oana Silvia, et al.
Published: (2024)

Transition pathways for a class of degenerate stochastic dynamical systems with Lévy noise
by: Chao, Ying, et al.
Published: (2025)

Invariant manifolds and stability for rough differential equations
by: Varzaneh, Mazyar Ghani, et al.
Published: (2023)

The stochastic Hamilton-Jacobi-Bellman equation on Jacobi structures
by: Wei, Pingyuan, et al.
Published: (2025)

Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
by: Liu, Ziyu, et al.
Published: (2024)

Synchronization by degenerate noise
by: Liu, Xianming, et al.
Published: (2025)

The memory-dependent FPK equation for fractional Gaussian noise
by: Feng, Lifang, et al.
Published: (2025)

Synchronization for the Rough Kuramoto Model
by: Neamtu, Alexandra Blessing, et al.
Published: (2026)

Conditional stochastic differential equations driven by fractional Brownian motion
by: Đorđević, Jasmina, et al.
Published: (2023)

Global random attractor for 3D stochastic Navier-Stokes equation with nonlinear colored noise
by: Yan, Xingjie, et al.
Published: (2026)

Random attractors for the stochastic Nernst-Planck-Navier-Stokes system with multiplicative white noise
by: Wu, Yang-yang, et al.
Published: (2024)

Uniform measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded thin domain
by: Zeng, Tianhao, et al.
Published: (2024)

Moderate deviations for two-time scale systems with mixed fractional Brownian motion
by: Yang, Xiaoyu, et al.
Published: (2023)

Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift-Hohenberg equation
by: Wang, Jintao, et al.
Published: (2022)

Singular stochastic delay equations driven by fractional Brownian motion: Dynamics, longtime behaviour, and pathwise stability
by: Varzaneh, Mazyar Ghani, et al.
Published: (2024)

Ergodicity for the randomly forced Korteweg-de Vries-Burgers equation
by: Gao, Peng
Published: (2025)

Stochastic functional partial differential equations with monotone coefficients: Poisson stability measures, exponential mixing and limit theorems
by: Lu, Shuaishuai, et al.
Published: (2024)

Dynamic System of Neurons on a Complete Graph: Synchronization
by: Pirogov, S. A., et al.
Published: (2025)

Euler scheme for stochastic functional differential equations driven by fractional Brownian motion
by: Garzón, Johanna, et al.
Published: (2026)

Pathwise mild solutions for superlinear stochastic evolution equations and their attractors
by: Blessing, Alexandra, et al.
Published: (2025)

Synchronization in random networks of identical phase oscillators: A graphon approach
by: Nagpal, Shriya V., et al.
Published: (2024)

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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