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Bibliographic Details
Main Author:	Paulsen, Chiara
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs Complex Variables Probability 42C05, 60G25
Online Access:	https://arxiv.org/abs/2511.08739
Tags:	Add Tag No Tags, Be the first to tag this record!

Asymptotics of the Number of Components of Random Polynomial Lemniscates
by: Ghosh, Subhajit, et al.
Published: (2026)

On the Asymptotics of Orthogonal Polynomials on Multiple Intervals with Non-Analytic Weights
by: Trogdon, Thomas
Published: (2024)

On the best constants in Khintchine type inequalities for martingales
by: Karagulyan, Grigori A.
Published: (2024)

Distribution of mixed character sums and extremal problems for Littlewood polynomials
by: Bober, Jonathan W., et al.
Published: (2025)

Zero asymptotics for successive derivatives of hyperexponential functions with finite essential singularities
by: Hägg, Christian, et al.
Published: (2026)

Sharp inequalities involving multiplicative chaos sums
by: Karagulyan, Grigori A.
Published: (2022)

Wiener-Hopf factorizations and matrix-valued orthogonal polynomials
by: Kuijlaars, Arno B. J., et al.
Published: (2024)

Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$
by: Chen, Xi, et al.
Published: (2025)

Nonlinear determination and phase retrieval under unimodular constraints
by: Liehr, Lukas, et al.
Published: (2026)

Limit law for root separation in random polynomials
by: Michelen, Marcus, et al.
Published: (2025)

Biorthogonal measures, polymer partition functions, and random matrices
by: Cafasso, Mattia, et al.
Published: (2024)

Inner approximations of doubling weights with applications to Beurling-Malliavin theory in Toeplitz kernels
by: Bergman, Alex
Published: (2025)

Bernstein-Szegő measures in the plane
by: Geronimo, Jeffrey S., et al.
Published: (2022)

Mahler's problem and Turyn polynomials
by: Mossinghoff, Michael J.
Published: (2024)

Characterizations for arbitrary Békollé-Bonami weights
by: Mudarra, Carlos, et al.
Published: (2025)

Wavelet resolution and Sobolev regularity of Calderón-Zygmund operators on domains
by: Di Plinio, Francesco, et al.
Published: (2023)

Two-weight dyadic Hardy's inequalities
by: Arcozzi, Nicola, et al.
Published: (2021)

The commutator of the Cauchy--Szegő Projection for domains in $\mathbb C^n$ with minimal smoothness: weighted regularity
by: Duong, Xuan Thinh, et al.
Published: (2020)

Pólya--Schur problems and free probability
by: Campbell, Andrew, et al.
Published: (2026)

Moment Summation Methods and Non-Homogeneous Carleman Classes
by: Kiro, Aver
Published: (2026)

A discrete Hardy uncertainty principle
by: Lysen, Torgeir Keun
Published: (2026)

A Fourier analysis approach to disprove the weak Shanks conjecture
by: Geronimo, Jeffrey S., et al.
Published: (2025)

Some extremal problems for martingale transforms, I
by: Vasyunin, Vasily, et al.
Published: (2023)

Zeros of polynomial powers under the heat flow
by: Höfert, Antonia, et al.
Published: (2025)

Fractal uncertainty principle for random Cantor sets
by: Han, Xiaolong, et al.
Published: (2024)

Sampling in the shift-invariant space generated by the bivariate Gaussian function
by: Romero, José Luis, et al.
Published: (2023)

Persistence probabilities of spherical fractional Brownian motion
by: Aurzada, Frank, et al.
Published: (2025)

Cancellative sparse domination
by: Alonso, José M. Conde, et al.
Published: (2026)

On the Distributions of Product and Quotient of two Independent $\hat{I}$-function variates
by: D'Souza, Vilma, et al.
Published: (2024)

Pointwise convergence of the non-linear Fourier transform
by: Poltoratski, Alexei
Published: (2021)

Asymptotic $ψ$-densities of subsets of natural numbers
by: Heittokangas, Janne, et al.
Published: (2024)

Discrete Pauli pairs
by: Lysen, Torgeir Keun
Published: (2026)

Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials
by: Ulanovskii, Alexander, et al.
Published: (2024)

Orthogonal polynomials in the normal matrix model with two insertions
by: Kieburg, Mario, et al.
Published: (2024)

Boundedness of the Bergman projection on some weighted mixed norm Lebesgue spaces of the upper-half space
by: Dje, Jean-Marcel Tanoh, et al.
Published: (2024)

Zeros of Laurent multiple orthogonal polynomials on the unit circle
by: Kozhan, Rostyslav, et al.
Published: (2026)

Beurling density theorems for sampling and interpolation on the flat cylinder
by: Abreu, Luis Daniel, et al.
Published: (2024)

A note on the Laplace transforms of certain generalized fractional integral operators
by: Luo, Min-Jie, et al.
Published: (2025)

Extending the Meijer $G$-function
by: Karp, Dmitrii, 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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