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Topological recursion information


In mathematics, topological recursion is a recursive definition of invariants of spectral curves. It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot theory.

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Topological recursion

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In mathematics, topological recursion is a recursive definition of invariants of spectral curves. It has applications in enumerative geometry, random...

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Left recursion

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In the formal language theory of computer science, left recursion is a special case of recursion where a string is recognized as part of a language by the...

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Julia set

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dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity Iterated function system Barnsley fern Cantor set...

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Cantor function

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dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity Iterated function system Barnsley fern Cantor set...

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Menger sponge

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first described by Karl Menger in 1926, in his studies of the concept of topological dimension. The construction of a Menger sponge can be described as follows:...

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Chaos game

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dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity Iterated function system Barnsley fern Cantor set...

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Symplectic manifold

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OCLC 22509804. Dunin-Barkowski, Petr (2022). "Symplectic duality for topological recursion". arXiv:2206.14792 [math-ph]. "How to find Lagrangian Submanifolds"...

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BCOV

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Brightcove, an American company, stock ticker: BCOV BCOV equations in topological recursion This disambiguation page lists articles associated with the title...

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Box counting

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dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity Iterated function system Barnsley fern Cantor set...

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Edward Witten

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theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor...

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Fractal

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curve map is not a homeomorphism, so it does not preserve topological dimension. The topological dimension and Hausdorff dimension of the image of the Hilbert...

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Sequence

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the above theorems to spaces without metrics. The topological product of a sequence of topological spaces is the cartesian product of those spaces, equipped...

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Ordinal number

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one function satisfying the recursion formula up to and including α. Here is an example of definition by transfinite recursion on the ordinals (more will...

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Reverse mathematics

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The use of second-order arithmetic also allows many techniques from recursion theory to be employed; many results in reverse mathematics have corresponding...

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Robert Penner

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Penner, R. C.; Reidys, Christian M.; Sułkowski, Piotr (2012). "Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces"....

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Amplituhedron

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amplituhedron. Using twistor theory, Britto–Cachazo–Feng–Witten recursion (BCFW recursion) relations involved in the scattering process may be represented...

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Fractal string

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Mandelbrot, Cantor's devil's staircase not fractal because its Hausdorff and topological dimensions coincide. However, the Cantor staircase function possesses...

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Geometry Festival

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Results on Ricci Flow Chiu-Chu Melissa Liu (Columbia University) - Topological Recursion and Crepant Transformation Conjecture Bing Wang (USTC) - Local entropy...

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Unit sphere

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displayed precision. The A n {\displaystyle A_{n}} values satisfy the recursion: A 0 = 2 {\displaystyle A_{0}=2} A 1 = 2 π {\displaystyle A_{1}=2\pi }...

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Tree traversal

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self-referential (recursively defined) data structure, traversal can be defined by recursion or, more subtly, corecursion, in a natural and clear fashion; in these...

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Mathematical structure

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features are related in a certain way, then the structure becomes a topological group. Mappings between sets which preserve structures (i.e., structures...

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