Finite-Time Transition to Intermittency for a Stochastic Heat Equation Driven by the Square of a Gaussian Field

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Mounaix, Philippe
Format:	Preprint
Publié:	2026
Sujets:	Mathematical Physics Statistical Mechanics Probability
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Finite-time blowup of a Brownian particle in a repulsive potential
par: Krapivsky, P. L., et autres
Publié: (2025)

Finite-time trajectorial estimates for inhomogeneous random walks
par: Ott, Sébastien, et autres
Publié: (2025)

Colored Line Ensembles for Stochastic Vertex Models
par: Aggarwal, Amol, et autres
Publié: (2024)

Fixed Points and Universality Classes in Coupled Kardar-Parisi-Zhang Equations
par: Roy, Dipankar, et autres
Publié: (2025)

Pfaffian Transition Probability and Correlation Kernel of TASEP in Half-space
par: de Gier, Jan, et autres
Publié: (2025)

Large Deviations in Switching Diffusion: from Free Cumulants to Dynamical Transitions
par: Guéneau, Mathis, et autres
Publié: (2025)

Operadic structure of boundary conditions for two-dimensional Markov Gaussian random fields on the lattice
par: Bodiot, Emilien, et autres
Publié: (2023)

$\mathbb{H}^{2|2}$-model and Vertex-Reinforced Jump Process on Regular Trees: Infinite-Order Transition and an Intermediate Phase
par: Wildemann, Peter, et autres
Publié: (2023)

From the Stochastic Embedding Sufficiency Theorem to a Superspace Diffusion Framework
par: Garcia, Carolina, et autres
Publié: (2026)

Gaussian to log-normal transition for independent sets in a percolated hypercube
par: Chowdhury, Mriganka Basu Roy, et autres
Publié: (2024)

A first passage problem for a Poisson counting process with a linear moving boundary
par: Burenev, Ivan N., et autres
Publié: (2026)

Liquid-vapor transition in a model of a continuum particle system with finite-range modified Kac pair potential
par: He, Qidong, et autres
Publié: (2025)

Stationary measures for integrable polymers on a strip
par: Barraquand, Guillaume, et autres
Publié: (2023)

Decorrelation of a leader by the increasing number of followers
par: Majumdar, Satya N., et autres
Publié: (2024)

Fluctuations in a kinetic transport model for quantum friction
par: Bauerschmidt, Roland, et autres
Publié: (2014)

The five-vertex model as a discrete log-gas
par: Colomo, Filippo, et autres
Publié: (2025)

Scaling limit of domino tilings on a pentagonal domain
par: Colomo, Filippo, et autres
Publié: (2024)

Logarithmic Spectral Distribution of a non-Hermitian $β$-Ensemble
par: Akemann, Gernot, et autres
Publié: (2025)

Fixed-magnetization Ising model with a slowly varying magnetic field
par: Aoun, Yacine, et autres
Publié: (2023)

Generalized arcsine laws for a sluggish random walker with subdiffusive growth
par: Del Vecchio, Giuseppe Del Vecchio, et autres
Publié: (2024)

Short-time blowup statistics of a Brownian particle in repulsive potentials
par: Meerson, Baruch
Publié: (2025)

First-passage properties of the jump process with a drift. The general case
par: Burenev, Ivan N.
Publié: (2025)

First-passage properties of the jump process with a drift. Two exactly solvable cases
par: Burenev, Ivan N., et autres
Publié: (2025)

Random Walk conditioned to stay above a non-flat floor: curvature effects
par: Ott, Sébastien, et autres
Publié: (2025)

Hierarchical Lorentz Mirror Model: Normal Transport and a Universal $2/3$ Mean--Variance Law
par: Lefevere, Raphael, et autres
Publié: (2026)

Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
par: Guéneau, Mathis, et autres
Publié: (2024)

High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint
par: He, Qidong, et autres
Publié: (2024)

Wrapping and unwrapping multifractal fields
par: Lakhal, Samy, et autres
Publié: (2023)

Integrable Matrix Probabilistic Diffusions and the Matrix Stochastic Heat Equation
par: Krajenbrink, Alexandre, et autres
Publié: (2024)

From Maximum of Intervisit Times to Starving Random Walks
par: Régnier, L., et autres
Publié: (2023)

Exact solution of three-point functions in critical loop models
par: Ang, Morris, et autres
Publié: (2026)

Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity Regimes
par: Akemann, Gernot, et autres
Publié: (2026)

Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory
par: Akemann, Gernot, et autres
Publié: (2026)

The Quantum Symmetric Simple Exclusion Process in the Continuum and Free Processes
par: Bernard, Denis
Publié: (2026)

Uphill transport in competitive drift-diffusion models with volume exclusion
par: Casini, Francesco, et autres
Publié: (2026)

Unified criteria for crystallization in hard-core lattice systems with applications to polyomino fluids and multi-component mixtures
par: He, Qidong
Publié: (2026)

Three non-Hermitian random matrix universality classes of complex edge statistics: Spacing ratios and distributions
par: Akemann, Gernot, et autres
Publié: (2026)

Rare events of small-noise Doob conditioned processes
par: Mamede, Iago N., et autres
Publié: (2026)

Equilibrium measures for higher dimensional rotationally symmetric Riesz gases
par: Byun, Sung-Soo, et autres
Publié: (2026)

Thermal relaxation asymmetry persists under inertial effects
par: Dieball, Cai, et autres
Publié: (2026)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// 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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"fr"
VUFIND_SESSION	"57902ef8b0d98f9e7179b4730896f0fa"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790847476.8515 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "57902ef8b0d98f9e7179b4730896f0fa" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=fr; VUFIND_SESSION=57902ef8b0d98f9e7179b4730896f0fa; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"3694"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2601_18561/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2601_18561/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790847476.847
REQUEST_TIME	1790847476

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler