:: Library Catalog

Saved in:

Bibliographic Details
Main Authors:	Liu, Shiping, Zhou, Chiyu
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Combinatorics Spectral Theory
Online Access:	https://arxiv.org/abs/2508.20815
Tags:	Add Tag No Tags, Be the first to tag this record!

Curvature, diameter and signs of graphs
by: Chen, Wei, et al.
Published: (2024)

Ricci curvature, diameter and eigenvalues of amply regular graphs
by: Chen, Kaizhe, et al.
Published: (2024)

Connection Laplacian on discrete tori with converging property
by: Lin, Yong, et al.
Published: (2024)

Weighted discrete tori and weighted trigonometric sums
by: Huang, Shuofeng, et al.
Published: (2026)

Extension and rigidity of Perrin's lower bound estimate for Steklov eigenvalues on graphs
by: Shi, Yongjie, et al.
Published: (2025)

A new proof of the Lemmens-Seidel conjecture
by: Ge, Chuanyuan, et al.
Published: (2025)

Strong convergence: a short survey
by: van Handel, Ramon
Published: (2025)

Local version of Courant's nodal domain theorem
by: Chanillo, S., et al.
Published: (2020)

Prime geodesic theorem and closed geodesics for large genus
by: Wu, Yunhui, et al.
Published: (2022)

Short geodesics and multiplicities of eigenvalues of hyperbolic surfaces
by: He, Xiang, et al.
Published: (2025)

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$
by: Karpukhin, Mikhail, et al.
Published: (2025)

Steklov isospectrality of conformal metrics
by: Florentin, Benjamin
Published: (2025)

Lower bounds for the sum of the reciprocals of eigenvalues of bounded domains in $\mathbb{R}^n$, spheres, and closed orientable surfaces
by: Eddaoudi, Mehdi
Published: (2025)

On Berger's Isoperimetric Problem
by: Kang, Fan
Published: (2025)

Second Variation Formula for Eigenvalue Functionals on Surfaces
by: Karpukhin, Mikhail
Published: (2025)

$\hat{H}$-eigenvalues of Hermitian tensors and some applications
by: Chen, Haojie, et al.
Published: (2025)

Some comparison results for one extension of the Bakry-Émery-Ricci tensor
by: Mota, Andrea M., et al.
Published: (2025)

An improved upper bound for the second eigenvalue on tori
by: Kang, Fan
Published: (2025)

Regularized $ζ_Δ(1)$ for Polyhedra
by: Kokotov, Alexey Yu., et al.
Published: (2025)

Zero modes on product Riemannian manifolds
by: Julio-Batalla, Jurgen
Published: (2026)

Conformal Geometry and Spectral Bounds on Manifolds with Boundary
by: Cruz, Tiarlos, et al.
Published: (2026)

Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space
by: Tschanz, Léonard
Published: (2023)

On spectral simplicity of the Hodge Laplacian and Curl Operator along paths of metrics
by: Kepplinger, Willi
Published: (2022)

Laplacians in spinor bundles over translation surfaces: self-adjoint extentions and regularized determinants
by: Kokotov, Alexey, et al.
Published: (2024)

Principal $p-$frequency estimates on non-compact manifolds with negative Ricci curvature
by: Jin, Xiaoshang, et al.
Published: (2026)

On Monge-Ampère volumes of direct images
by: Finski, Siarhei
Published: (2020)

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary
by: Hua, Bobo, et al.
Published: (2024)

Comparisons of Dirichlet, Neumann and Laplacian eigenvalues on graphs and their applications
by: Shi, Yongjie, et al.
Published: (2020)

The hot spots conjecture on Gaussian spaces
by: Hua, Bobo, et al.
Published: (2024)

Upper bound of the counting function of Steklov eigenvalues
by: He, Fei, et al.
Published: (2024)

First Eigenvalue Estimates for Asymptotically Hyperbolic Manifolds and their Submanifolds
by: Pérez-Ayala, Samuel, et al.
Published: (2024)

Spinor inequality for magnetic fields on spin manifolds
by: Julio-Batalla, Jurgen
Published: (2026)

Schrödinger Operators, Integral Curvature, and the Euler Characteristic of Riemannian Manifolds
by: Huang, Teng, et al.
Published: (2026)

Sharp Spectral Bounds for the $p$-Laplacian and Polyharmonic Operators on Asymptotically Hyperbolic Manifolds
by: Pérez-Ayala, Samuel
Published: (2026)

Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action
by: Rumin, Michel
Published: (2024)

A note on the scattering theory of Kato-Ricci manifolds
by: Güneysu, Batu, et al.
Published: (2024)

Spectral convergence of graph Laplacians with Ricci curvature bounds and in non-collapsed Ricci limit spaces
by: Inagaki, Masato
Published: (2025)

Spectral asymptotics for linear elasticity with mixed boundary conditions
by: Liu, Genqian
Published: (2024)

A sharp lower bound on the small eigenvalues of surfaces
by: Gross, Renan, et al.
Published: (2024)

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	"en"
ui	"standard"
VUFIND_SESSION	"b3f2399d60b2f9b5dae307814c0dee2c"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784690946.7637 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b3f2399d60b2f9b5dae307814c0dee2c" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=en; ui=standard; VUFIND_SESSION=b3f2399d60b2f9b5dae307814c0dee2c"
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	"216.73.216.85"
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	"25320"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2508_20815/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2508_20815/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784690946.7569
REQUEST_TIME	1784690946

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
ui	"standard"
VUFIND_SESSION	"b3f2399d60b2f9b5dae307814c0dee2c"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784690946.7637 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b3f2399d60b2f9b5dae307814c0dee2c" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=en; ui=standard; VUFIND_SESSION=b3f2399d60b2f9b5dae307814c0dee2c"
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	"216.73.216.85"
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	"25320"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2508_20815/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2508_20815/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784690946.7569
REQUEST_TIME	1784690946

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: