Results 61 to 70 of about 260,310 (201)
New Journal of Physics, 2016 We investigate a free one-dimensional spinless Fermi gas, and the Tonks–Girardeau gas interacting with a single impurity particle of equal mass. We obtain a Fredholm determinant representation for the time-dependent correlation function of the impurity ...
Oleksandr Gamayun +2 more
doaj +1 more source
Heart failure‐induced reprogramming of salt‐evoked neurovascular coupling in the rat hypothalamus
The Journal of Physiology, Volume 604, Issue 18, Page 7845-7868, 15 September 2026.Abstract figure legend In sham rat, hypertonic saline induces activation of the AVP neurons, leading to dendritic AVP release and subsequent V1aR‐mediated PA vasoconstriction resulting in local tissue hypoxia in the SON. In heart failure rat, hypertonic saline similarly induces activation of the AVP neuron leading to dendritic AVP release.
Ranjan K. Roy +4 more
wiley +1 more source
The product formula for regularized Fredholm determinants [PDF]
, 2020 For trace class operators A, B B1(H) (H a complex, separable Hilbert space), the product formula for Fredholm determinants holds in the familiar form detH((IH − A)(IH − B)) = detH(IH − A)detH(IH − B).
Gesztesy, Fritz +5 more
core +2 more sources
On Finite-Temperature Fredholm Determinants
Physica D: Nonlinear PhenomenaWe consider finite-temperature deformation of the sine kernel Fredholm determinants acting on the closed contours. These types of expressions usually appear as static two-point correlation functions in the models of free fermions and can be equivalently presented in terms of Toeplitz determinants.
Oleksandr Gamayun, Yuri Zhuravlev
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Parity and generalized multiplicity [PDF]
, 1991 Assuming that X and Y are Banach spaces and that T is a path of linear Fredholm operators with invertible endpoints, in [F-Pl] we defined a homotopy invariant "the parity of T .
Fitzpatrickp. +2 more
core
Fredholm determinant representation of the Painlev\'e II $\tau$-function [PDF]
We formulate the generic $\tau$-function of the Painlev\'e II equation as a Fredholm determinant of an integrable (Its-Izergin-Korepin-Slavnov) operator.
Desiraju, Harini
core +1 more source
An extension of the theory of Fredholm determinants [PDF]
Publications Mathématiques de l'IHÉS, 1990 It is the aim of Fredholm's determinant theory to write the resolvent of an operator K as the quotient of an operator-valued entire function N(z) and a scalar-valued entire function d(z). This means that \[ (I-zK)^{- 1}=N(z)/d(z) \] for all z in the resolvent set. For certain integral operators occuring in the theory of dynamical systems, the author is
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Small, Volume 22, Issue 44, 7 August 2026.A hybrid all‐solid‐state battery (ASSB) is implemented by integrating a thin‐film electrolyte on a bulk anode, and a thick cathode sheet. A densified anode substrate with suppressed porosity is prepared by cold pressing. Thin‐film electrolyte is fabricated onto the bulk substrate via co‐sputtering and infrared‐based rapid annealing.
Hyeseong Jeong +7 more
wiley +1 more source
Janossy densities for chiral random matrix ensembles and their applications to two-color QCD
Journal of High Energy Physics, 2019 We compute individual distributions of low-lying eigenvalues of massive chiral random matrix ensembles by the Nyström-type quadrature method for evaluating the Fredholm determinant and Pfaffian that represent the analytic continuation of the Janossy ...
Hiroyuki Fuji +2 more
doaj +1 more source