Topological recursion

오버불파크에서 찍은 현대수학의 면모

Topological recursion

In this snapshot we present the concept of topological recursion – a new, surprisingly powerful formalism at the border of mathematics and physics, which has been actively developed within the last decade. After introducing necessary ingredients – expectation values, random matrices, quantum theories, recursion relations, and topology – we explain how they get combined together in one unifying picture.

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수학적 주제

기하학/위상수학

확률론/통계학

다른 분야와의 연관성

물리학

저자

Piotr Sułkowski

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2018-002-EN

PDF 다운로드

application/pdf

snapshots-2018-002.pdf

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Characterizations of intrinsic volumes on convex bodies and convex functions

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A tale of three curves

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What is Pattern?

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Biological Shape Analysis with Geometric Statistics and Learning

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Representations and degenerations

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Solving inverse problems with Bayes’ theorem

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Seeing through rock with help from optimal transport

David A. Craven

Searching for the Monster in the Trees

The Robinson–Schensted algorithm

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Emergence in biology and social sciences

Lagrangian mean curvature flow

Finite geometries: pure mathematics close to applications

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Describing distance: from the plane to spectral triples

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Quantum symmetry

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The Enigma behind the Good–Turing formula

Reflections on hyperbolic space

Isaac Goldbring

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Invitation to quiver representation and Catalan combinatorics

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From the dollar game to the Riemann-Roch Theorem

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Quantum symmetry

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Vertex-to-Self Trajectories on the Platonic Solids

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From Betti numbers to l2-Betti numbers

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Random permutations

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Molecular quantum dynamics

Closed geodesics on surfaces and Riemannian manifolds

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Aperiodic Order and Spectral Properties

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Profinite groups

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The adaptive finite element method

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The Willmore Conjecture

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Prime Tuples in Function Fields

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Symmetry and characters of finite groups

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On the containment problem

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수학적 주제

대수학/정수론

해석학

수학교육/교수법

이산수학/수학기초론

기하학/위상수학

수치해석/과학계산

확률론/통계학

다른 분야와의 연관성

화학 및 지구과학

컴퓨터 과학

공학

금융

인문/사회과학

생명 과학

물리학

수학 전반에 대한 소고

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