Results 81 to 90 of about 6,267 (199)

Lebesgue density theorem for Haar measure [PDF]

, 2006
In this work, we study Lebesgue theorem analogy in the space 2k with Haar measure and a related theorem about -k-linkedness of the measure algebra of this space. The whole text is divided in three chapters.
Sterzik, Marek
core  

Asymptotically independent fluctuations of stabilizer Rényi entropy and entanglement in random unitary circuits

Physical Review Research
We investigate numerically the joint distribution of magic (as described by the stabilizer 2-Rényi entropy M_{2}) and entanglement (as described by the von Neumann entropy S) in N-qubit Haar-random quantum states.
Dominik Szombathy, Angelo Valli, Cătălin Paşcu Moca, Lóránt Farkas, Gergely Zaránd   +4 more
doaj   +1 more source

A FEW REMARKS ON LOCALLY COMPACT TOPOLOGIES AND HAAR SYSTEMS [PDF]

Fiabilitate şi Durabilitate, 2018
We start from the question raised by Williams (Proc. Am. Math. Soc. 2016): Must a second countable, locally compact, transitive groupoid G have open range map? If the answer is positive, the topology of G is in fact locally transitive (in the sense of [
Mădălina Roxana BUNECI
doaj  

The characteristic polynomial on compact groups with Haar measure: some equalities in law [PDF]

, 2007
This Note presents some equalities in law for ZN:=det(Id−G), where G is an element of a subgroup of the set of unitary matrices of size N, endowed with its unique probability Haar measure.
Bourgade, P, Bourgade, Paul, Nikeghbali, Ashkan, Rouault, A., Bourgade, P., Nikeghbali, A, Rouault, Alain, Paul Bourgade, Alain Rouault, Rouault, A, Nikeghbali, A., Ashkan Nikeghbali   +11 more
core   +1 more source

Reference-Measure Geometry in Quantum Parameter Estimation: When Coordinate Surrogates Optimize the Wrong Objective

Mathematics
Quantum gate estimation and tomography pipelines routinely combine intrinsically defined likelihoods with priors or regularization terms specified in local Euclidean coordinates.
Christopher P. Fulton, Lawrence V. Fulton   +1 more
doaj   +1 more source

Existence of isoperimetric regions in sub-Finsler nilpotent groups

Analysis and Geometry in Metric Spaces
We consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
doaj   +1 more source

Extension of a Bohr-Jessen type theorem for the Epstein zeta-function in short intervals

Mathematical Modelling and Analysis
Let $Q$ be a positive definite $n \times n$ matrix, $n \in 2\mathbb{N}$, $n \geqslant4$. The Epstein zeta-function $\zeta(s; Q)$, defined for $\mathrm{Re}\,s > \tfrac{n}{2}$, is given by $\zeta(s; Q) = \sum_{\underline{x} \in \mathbb{Z}^n \setminus ...
Aidas Balčiūnas, Virginija Garbaliauskienė, Renata Macaitienė   +2 more
doaj   +1 more source

Some Remarks on Consistency and Strong Inconsistency of Bayesian Inference [PDF]

The paper provides new sufficient conditions for consistent and coherent Bayesian inference when a model is invariant under some group of transformations.
Kociecki, Andrzej
core   +1 more source

Liftings for Haar measure on {0,1}k [PDF]

We call E subset-of-or-is-equal-to {0,1}kappa projective if for some countable A subset-of-or-is-equal-to kappa there is an E(A) subset-of-or-is-equal-to {0,1}A such that E = E(A) x {0,1}kappa/A and E(A) is a projective subset of the Cantor set {0,1}A ...

core   +1 more source

Gravitational edge mode in asymptotically AdS2: JT gravity revisited

Journal of High Energy Physics
We study the gravitational edge mode of the Jackiw-Teitelboim (JT) gravity and its sl(2, ℝ) BF theory description with the asymptotic AdS2 boundary condition.
Euihun Joung, Prithvi Narayan, Junggi Yoon   +2 more
doaj   +1 more source