Macroscopic loops in the Bose gas, spin \(O(N)\) and related models (Q6097427)

scientific article; zbMATH DE number 7692743

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English	Macroscopic loops in the Bose gas, spin \(O(N)\) and related models	scientific article; zbMATH DE number 7692743

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instance of

scholarly article

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title

Macroscopic loops in the Bose gas, spin \(O(N)\) and related models (English)

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Communications in Mathematical Physics

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publication date

5 June 2023

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full work available at URL

https://arxiv.org/abs/2201.04047

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MaRDI profile type

MaRDI publication profile

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cites work

A variational formula for the free energy of an interacting many-particle system

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Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice

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Geometric aspects of quantum spin states

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Dimerization and Néel order in different quantum spin chains through a shared loop representation

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Loop correlations in random wire models

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Spatial random permutations and infinite cycles

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Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations

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Interacting self-avoiding polygons

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Random permutations with cycle weights

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Spatial random permutations with small cycle weights

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Methods of contemporary mathematical statistical physics. Lecture notes presented at the 5th Prague summer school on mathematical statistical physics, Prague, Czech Republik, September 2006

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Asymptotic statistics of cycles in surrogate-spatial permutations

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Intersecting loop models on \({\mathbb Z}^ d\): rigorous results.

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Double dimers, conformal loop ensembles and isomonodromic deformations

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Macroscopic loops in the loop \(O(n)\) model at Nienhuis' critical point

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Limit distributions for Euclidean random permutations

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Atomic Theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition in Helium

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Statistical Mechanics of Lattice Systems

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Conformal invariance of loops in the double-dimer model

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The Brownian loop soup

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The mathematics of the Bose gas and its condensation.

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Site monotonicity and uniform positivity for interacting random walks and the spin \(O(N)\) model with arbitrary \(N\)

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Site-monotonicity properties for reflection positive measures with applications to quantum spin systems

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Exponential decay of transverse correlations for \(O(N)\) spin systems and related models

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Lectures on the Spin and Loop O(n) Models

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Conformal loop ensembles: the Markovian characterization and the loop-soup construction

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Percolation transition in the Bose gas: II

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Shifted critical threshold in the loop \(O(n)\) model at arbitrarily small \(n\)

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Uniformly Positive Correlations in the Dimer Model and Macroscopic Interacting Self‐Avoiding Walk in ℤd, d ≥ 3

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Q4130496

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Feynman cycles in the Bose gas

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Random loop representations for quantum spin systems

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Identifiers

arXiv ID

2201.04047

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DOI

10.1007/s00220-023-04633-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6097427