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Bibliographic Details
Main Authors:	Alves, Rodrigo B., Iacobelli, Giulio, Valle, Glauco, Zuaznábar, Leonel
Format:	Preprint
Published:	2023
Subjects:	Probability
Online Access:	https://arxiv.org/abs/2303.12228
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On the convergence of the drainage network with branching
by: Santos, Rafael, et al.
Published: (2022)

Estimates on Escape Times for the Elephant Random Walk
by: André, Morgan, et al.
Published: (2026)

Structural results for the Tree Builder Random Walk
by: Engländer, Janos, et al.
Published: (2023)

Stochastic Ordering for Bernoulli and Normal Random Walks
by: Hsiau, Shoou-Ren, et al.
Published: (2025)

Exponential Bounds and Analyticity for the Tree Builder Random Walk
by: Alves, Caio, et al.
Published: (2026)

Self-switching random walks on Erdös-Rényi random graphs feel the phase transition
by: Iacobelli, Giulio, et al.
Published: (2023)

Onset of pattern formation for the stochastic Allen-Cahn equation
by: Brassesco, Stella, et al.
Published: (2023)

Ergodic Theorems for Random Walks in Random Environments
by: Ghosh, Ayan
Published: (2026)

Least Squares as Random Walks
by: Kostinski, Alexander, et al.
Published: (2025)

Singular Perturbation in Multiscale Stochastic Control Problems with Domain Restriction in the Slow Variable
by: Calixto, Anderson O., et al.
Published: (2025)

A complete characterization of a correlated Bernoulli process
by: González-Navarrete, Manuel, et al.
Published: (2024)

On the slow phase for fixed-energy Activated Random Walks
by: de Lima, Bernardo N. B., et al.
Published: (2024)

Random Walk in Random Environment: A short introduction
by: Bouchattaoui, Mouad El
Published: (2024)

Random Walks in Random Environments with Rare Anomalies
by: Slonim, Daniel J.
Published: (2023)

Scaling Limit of Dependent Random Walk
by: Lee, Jeonghwa
Published: (2025)

Concentration Inequalities for Branching Random Walk
by: Liu, Changqing
Published: (2025)

Random Walks on $\mathbb{Z}_q^d$
by: Griffiths, Robert, et al.
Published: (2025)

Renewal structure of the Tree Builder Random Walk
by: Ribeiro, Rodrigo
Published: (2023)

Elephant Random Walk on the Triangular Lattice
by: Chaudhuri, Rohit
Published: (2026)

Local Density of Activated Random Walk on $\mathbb{Z}$
by: Hoffman, Christopher, et al.
Published: (2026)

A Scaling Limit of Random Walks in the Rational Adeles
by: Rajkumar, Rahul
Published: (2026)

Universality for the 2D Random Walk Loop Soup
by: Pang, Yihao
Published: (2026)

On Partition Functions for Time-Inhomogeneous Branching Random Walks
by: Wu, Qianrun
Published: (2026)

Maximal Entropy Random Walks in Z: Random and non-random environments
by: Thibaut, Duboux, et al.
Published: (2025)

The Bernoulli clock: probabilistic and combinatorial interpretations of the Bernoulli polynomials by circular convolution
by: Maazouz, Yassine El, et al.
Published: (2022)

Logarithmic Mixing of Random Walks on Dynamical Random Cluster Models
by: Galanis, Andreas, et al.
Published: (2026)

Particle detection among Random Walks as a non-reversible Random Interlacements Process
by: Panizo, Gonzalo, et al.
Published: (2025)

Fluctuations of Discrete-Time Random Walks
by: Denisov, Denis, et al.
Published: (2026)

Rank of Sparse Bernoulli Matrices
by: Huang, Han
Published: (2020)

Viral Quasispecies Evolution as a Branching Random Walk on the Hypercube
by: Blanchet, Jose, et al.
Published: (2026)

An Analysis of the Recurrence/Transience of Random Walks on Growing Trees and Hypercubes
by: Kumamoto, Shuma, et al.
Published: (2024)

Sample Path Large Deviations for Random Walks on Regular Trees
by: Jiang, Jie, et al.
Published: (2025)

Internal Diffusion Limited Aggregation with Critical Branching Random Walks
by: Asselah, Amine, et al.
Published: (2025)

Expected First Return Times for Random Walks on Bounded Grids
by: An, Nan
Published: (2025)

Asymptotic Renyi Entropies of Random Walks on Groups
by: Golubeva, Kimberly, et al.
Published: (2023)

Simulating Simple Random Walks With a Deck of Cards
by: Alves, Raphael, et al.
Published: (2024)

Active Phase for Activated Random Walk on Z
by: Hoffman, Christopher, et al.
Published: (2020)

Matrix-Valued Orthogonal Polynomials Related to a Class of Random Walk
by: Roman, P., et al.
Published: (2025)

Gaussian Fields on a hypercube from Long Range Random Walks
by: Griffiths, Robert
Published: (2025)

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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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