Results 51 to 60 of about 775 (185)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
The Berezin transform and Laplace–Beltrami operator
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Laplace–Beltrami operator and exact solutions for branes [PDF]
Proposed is a new approach to finding exact solutions of nonlinear $p$-brane equations in $D$-dimensional Minkowski space based on the use of various initial value constraints. It is shown that the constraints $Δ^{(p)}\vec{x}=0$ and $Δ^{(p)}\vec{x}=-Λ(t,σ^r)\vec{x}$ give two sets of exact solutions.
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Integral representation for fractional Laplace–Beltrami operators [PDF]
In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give two different proofs, in two different scenarios, of essentially the same result. One of them deals with compact manifolds with or without boundary, while the other approach
Alonso-Orán, Diego +2 more
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Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu +6 more
wiley +1 more source
Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space [PDF]
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Güler, Erhan +2 more
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On the Meaning of Localization in Non‐Local Quantum Field Theory
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
The spectral function Θ(t)=∑i=1∞exp(−tλj), where {λj}j=1∞ are the eigenvalues of the negative Laplace-Beltrami operator −Δ, is studied for a compact Riemannian manifold Ω of dimension k with a smooth boundary ∂Ω, where a finite number of piecewise ...
E. M. E. Zayed
doaj +1 more source
Hybrid Multiscale Method for Polymer Melts: Analysis and Simulations
ABSTRACT We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving–Kirkwood formula to determine an averaged stress tensor for a macroscopic model.
Ranajay Datta +3 more
wiley +1 more source
Lax–Phillips orbit counting in higher rank
Abstract Given a discrete lattice, Γ
Alex Kontorovich, Christopher Lutsko
wiley +1 more source

