Results 301 to 310 of about 416,861 (348)

Analysis of density matrix embedding theory around the non‐interacting limit

Communications on Pure and Applied Mathematics, EarlyView.
Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès, Fabian M. Faulstich, Alfred Kirsch, Eloïse Letournel, Antoine Levitt   +4 more
wiley   +1 more source

Neck-pinching of C P 1 -structures in the PSL 2 C -character variety. [PDF]

J Topol
Baba S.
europepmc   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Domain decomposition and mortar mixed approach for nonlinear elliptic equations modeling flow in porous media. [PDF]

Heliyon
Arshad M, Mehmood A, Salleh Z, Akhtar SS, Khan S, Inc M.   +5 more
europepmc   +1 more source

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

Communications on Pure and Applied Mathematics, EarlyView.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

Description of chemical systems by means of response functions. [PDF]

J Math Biol
Franco E, Kepka B, Velázquez JJL.
europepmc   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

Interaction Order Estimation in Tensor Curie-Weiss Models. [PDF]

Entropy (Basel)
Mukherjee S.
europepmc   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Comments on "Pythagoras theorem for the point of needle entry: Ultrasound-guided regional blocks". [PDF]

Saudi J Anaesth
Hoda W, Pandey K, Oraon P.
europepmc   +1 more source