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spectral radius; iterated function systems; subdivision scheme zero-dimensional scheme; complete intersection; Kähler different; Dedekind different; arithmetically Gorenstein scheme; Cayley-Bacharach scheme; Hilbert function
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spectral radius; iterated function systems; subdivision scheme noncommutative regular projective curve; noncommutative function field; Auslander-Reiten translation; Picard-shift; ghost group; maximal order over a scheme; ramification; Witt curve; noncommutative elliptic curve; Klein bottle; Fourier-Mukai partner; weigh...
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spectral radius; iterated function systems; subdivision scheme supersymmetry; spectral networks; BPS spectrum; Seiberg-Witten curve; Hitchin system; spin systems; integrable field theories; soliton paths
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spectral radius; iterated function systems; subdivision scheme elliptic surfaces; Birch and Swinnerton-Dyer conjecture; elliptic curve over a function field; finite field; Drinfeld-Heegner point; Néron models; Euler systems; Drinfeld modular curves; Tate-Shafarevich group
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spectral radius; iterated function systems; subdivision scheme connected scheme; elliptic curve; zero section; sheaf of relative homologies; weight filtration; logarithmic sheaf; elliptic polylogarithm; spectral sequence; regulator map; Beilinson's conjectures; Tate's normal form; elliptic Vandermonde functions; theta ...
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spectral radius; iterated function systems; subdivision scheme projective plane curves; plane curve singularities; nodes; cusps; homogeneous zero-dimensional singularities; fat points; infinitely near points; cluster schemes, constellations; Noether's formula, Newton diagrams; conductor scheme; normalization; Hilbert f...
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spectral radius; iterated function systems; subdivision scheme point-free topology; Grothendieck scheme; graded ring; valuations; nonsingular curve; spectral schemes; universal properties; projective spectrum
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spectral radius; iterated function systems; subdivision scheme quadratic forms; function field of a quadric; spinor norm; Galois cohomology; unramified cohomology; étale cohomology; Chow group; spectral sequence
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spectral radius; iterated function systems; subdivision scheme Heisenberg ferromagnet hierarchy; spectral curve; Riemann theta function; quasiperiodic solution
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spectral radius; iterated function systems; subdivision scheme quantum curve; Hitchin spectral curve; Higgs field; Rees \(\mathcal{D}\)-module; opers; non-abelian Hodge correspondence; mirror symmetry; Airy function; quantum invariants; WKB approximation; topological recursion
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spectral radius; iterated function systems; subdivision scheme Cremona transformation; virtual dimension; fat point scheme; linear systems
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spectral radius; iterated function systems; subdivision scheme field with one element; Deitmar scheme; loose graph; zeta function; Grothendieck ring; automorphism group; functoriality
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spectral radius; iterated function systems; subdivision scheme frieze variety; representation type of quivers; cluster algebra; Coxeter matrix; spectral radius
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spectral radius; iterated function systems; subdivision scheme characteristic \(p\); Dieudonné modules; group scheme; Dieudonné ring; finite Honda systems
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spectral radius; iterated function systems; subdivision scheme free groups; algebraic geometry; equations in free groups; Skolem functions; Tarski problems; implicit function theorems; decidability; regular quadratic equations; regular NTQ systems
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spectral radius; iterated function systems; subdivision scheme Isomonodromy; Spectral curve; Dual systems; Isomonodromic deformations; Duality; JMMS equations
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spectral radius; iterated function systems; subdivision scheme integrable Hamiltonian systems; Hamilton-Jacobi theory; algebraic- geometric spectral theory; hyperelliptic curves; Korteweg-de Vries equation
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spectral radius; iterated function systems; subdivision scheme Hilbert function; Hilbert polynomial; Castelnuovo-Mumford regularity of a projective scheme; regularity of a Hilbert function; Borel ideal
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spectral radius; iterated function systems; subdivision scheme feedback invariants; autoregressive systems; geometric invariant theory; Grassmannian; quot scheme; feedback group; output feedback orbits; McMillan degree; nondegenerate system
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spectral radius; iterated function systems; subdivision scheme semialgebraic set; semialgebraic function; branched covering; branching locus; ramification set; ramification index; Zariski spectra; spectral map; collapsing set
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spectral radius; iterated function systems; subdivision scheme Hirota tau function; quantum field theory; super algebraic geometry; affine super scheme; Virasoro uniformized super Riemann surfaces; super tau function; super theta function
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spectral radius; iterated function systems; subdivision scheme quantum group; \(R\)-matrix; Heisenberg double; spectral completion; quantum top; Riemann theta function
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spectral radius; iterated function systems; subdivision scheme Hilbert schemes; spectral curves; integrable systems on loop algebras and loop groups; Lie-Poisson group structure; abelianisation; separation of variables; integrable Hamiltonian systems
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spectral radius; iterated function systems; subdivision scheme iterated torus knots; \(L\)-space surgery; Upsilon function; formal semigroup
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spectral radius; iterated function systems; subdivision scheme spectral theory; integrable systems; Lie algebras; Jacobians; Prym varieties
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spectral radius; iterated function systems; subdivision scheme integrable Hamiltonian systems; Hamilton-Jacobi theory; spectral theory; Korteweg-de Vries equation; hyperellipitic curve
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spectral radius; iterated function systems; subdivision scheme \(\mathcal M\)ultivariate \(\mathcal Q\)uadratic polynomials; public key signature; hidden field equations; Matsumoto-Imai scheme A; C\(^*\); unbalanced oil and vinegar; stepwise triangular systems; equivalent keys; post-quantum cryptography
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spectral radius; iterated function systems; subdivision scheme Macaulay inverse system; classical Waring problem for forms; Hilbert function; smoothable length; scheme length
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spectral radius; iterated function systems; subdivision scheme zero-dimensional subscheme of cubic surface; Hilbert function; linear systems
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spectral radius; iterated function systems; subdivision scheme higher Neumann systems; spectral theory of linear differential operators of order n; scattering theory
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spectral radius; iterated function systems; subdivision scheme Reidemeister zeta functions; group endomorphism; continuous map; radius of convergence; Nielsen zeta function
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spectral radius; iterated function systems; subdivision scheme deformations; \(p\)-group scheme; Honda systems
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spectral radius; iterated function systems; subdivision scheme model of Josephson junction; dynamical systems on torus; rotation number function; phase-lock area; double confluent Heun equations
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spectral radius; iterated function systems; subdivision scheme singular points with high multiplicity; linear systems; Hilbert scheme; normalizations of plane curves; principal components; arrangements; monodromy of nodes
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spectral radius; iterated function systems; subdivision scheme Schlesinger equations; Fuchsian systems; Darboux coordinates; Painlevé equations; Hamiltonian structure; apparent singularities; spectral coordinates; canonical transformations
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spectral radius; iterated function systems; subdivision scheme differential function field; algebraic differential equations; ADE; Galois theory; no movable singularity; Picard-Vessiot extension; Kolchin's theory; normal function fields; linearization property; complete integrable Hamiltonian systems; Euler equations
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spectral radius; iterated function systems; subdivision scheme Hodge bundle; ample vector bundle; function field; height; abelian scheme; Néron model; purely inseparable points; torsors; Tate-Shafarevich group; BSD conjecture; Tate conjecture
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spectral radius; iterated function systems; subdivision scheme iterated mappings; dynamical systems; Coxeter groups; birational transformations; Cremona transformations; inversion relations; Yang- Baxter equations; automorphisms of algebraic varieties; elliptic curves; resonant tori; Plücker variables; quantum integrab...
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spectral radius; iterated function systems; subdivision scheme scheme-theoretic complete intersection; Euler-Cramer problem; Cayley- Bacharach property; Hilbert function
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spectral radius; iterated function systems; subdivision scheme integrable systems; conformally immersed tori; quaternionic holomorphic curves; spectral curves
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spectral radius; iterated function systems; subdivision scheme local Hilbert scheme; compressed algebras; punctual Hilbert scheme; maximal Hilbert function
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spectral radius; iterated function systems; subdivision scheme function of sequences of matrices; deter-cube; cubic determinant; linearly independent systems of quadrics
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spectral radius; iterated function systems; subdivision scheme algebraic \(K\)-theory; motivic cohomology; motivic spectral sequence; framed correspondences; Hilbert scheme
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spectral radius; iterated function systems; subdivision scheme Serre-spectral sequence; Schubert calculus; filling radius
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spectral radius; iterated function systems; subdivision scheme linear differential operator; integrable systems; the sigma-function; Abel map
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spectral radius; iterated function systems; subdivision scheme postulation; zero-dimensional scheme; Hilbert function
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spectral radius; iterated function systems; subdivision scheme Hilbert function; fat point scheme; regularity index; Kähler differential module
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spectral radius; iterated function systems; subdivision scheme Hilbert function; Betti numbers; liaison; arithmetically Cohen-Macaulay scheme; partial intersection schemes
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spectral radius; iterated function systems; subdivision scheme field of one element; zeta-function; monoidal scheme; reductive group; regularized determinant; counting functions
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spectral radius; iterated function systems; subdivision scheme Dedekind eta function; eta products; Fourier coefficient; punctual Hilbert scheme
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spectral radius; iterated function systems; subdivision scheme compatible systems of Galois representations; independence of algebraic monodromy groups; automorphic compatible systems; compatible systems over global function fields
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spectral radius; iterated function systems; subdivision scheme linear systems; rational normal curves; bounds for the regularity index of fat points; Hilbert function of the coordinate ring
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spectral radius; iterated function systems; subdivision scheme hypergeometric functions; hyperplane; Beta function; polylogarithms; Bloch-Wigner function; local systems; Gauss-Manin connection; logarithmic differentials; monodromy; braid groups; quantum groups
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spectral radius; iterated function systems; subdivision scheme dimension of linear systems of curves; Hilbert polynomial; generic Hilbert function; rational surfaces; zero-cycles
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spectral radius; iterated function systems; subdivision scheme complex algebraic geometry; fat points scheme; collisions of fat points; degeneration of linear systems; interpolation theory; Laface-Ugaglia conjecture
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spectral radius; iterated function systems; subdivision scheme connective \(K\)-theory; quasi-projective scheme; Brown-Gersten-Quillen spectral sequence
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spectral radius; iterated function systems; subdivision scheme Hurwitz number; hypergeometric \(\tau\)-functions; Baker function; Christoffel-Darboux relation; spectral curve
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spectral radius; iterated function systems; subdivision scheme quadratic fields; quadratic function fields; hyperelliptic curves; ideal arithmetic; double base number systems
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spectral radius; iterated function systems; subdivision scheme Hilbert function; standard determinantal scheme; degree matrix; irreducible arithmetically Gorenstein scheme; divisor; regularity
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spectral radius; iterated function systems; subdivision scheme asymptotic grade; essential grade; Noetherian ring; grade function; grade scheme
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spectral radius; iterated function systems; subdivision scheme Hilbert function; dimension of linear system; zero-dimensional scheme; Hilbert's fourteenth problem; generic fat points
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spectral radius; iterated function systems; subdivision scheme integration by inverse spectral and scattering methods; algebraic geometry; mechanics of particles and systems
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spectral radius; iterated function systems; subdivision scheme \(p\)-adic differential equations; Berkovich spaces; radius of convergence; Newton polygon; spectral radius; controlling graph; finiteness
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spectral radius; iterated function systems; subdivision scheme De Rham Witt complex; crystalline cohomology; log scheme; weight spectral sequence; log basic Witt differentials; overconvergent de Rham Witt complex; rigid cohomology
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spectral radius; iterated function systems; subdivision scheme Riemann surface; vector bundles; moduli spaces; Higgs Gp(2n; C)-bundles; Hilbert scheme; spectral curve; symplectic form
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spectral radius; iterated function systems; subdivision scheme Poisson surface; Hilbert scheme; Poisson structure; integrable Hamiltonian systems; Hilbert schemes
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spectral radius; iterated function systems; subdivision scheme complete intersection; isolated singularity; zeta-function; monodromy; Milnor fibration; iterated hyperplane sections
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spectral radius; iterated function systems; subdivision scheme graded Betti number; arithmetically Cohen-Macaulay scheme; partial intersection subscheme; Hilbert function; generators of the vanishing ideal; syzygies
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spectral radius; iterated function systems; subdivision scheme sign function; narrow ray class field; Shimura reciprocity law; ordinary \(s\)-distributions; Anderson's resolution; spectral sequences
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spectral radius; iterated function systems; subdivision scheme generic n\(\times n\) matrices; classical division algebra of fractions; center; purely transcendental; Picard scheme; generic plane curve; function field; variety; rationality
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spectral radius; iterated function systems; subdivision scheme systems of multivariate polynomial equations; Bernstein's Theorem; Kushnirenko's Theorem; A-discriminant; resultant; mixed subdivision; mixed volume; toric varieties; amoeba theory; polyhedral homotopy.
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spectral radius; iterated function systems; subdivision scheme generic initial ideal; extensor; Hilbert scheme; irreducible component; maximal Hilbert function; rationality
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spectral radius; iterated function systems; subdivision scheme subadditive function; endofinite module; stable module category; finite group scheme
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spectral radius; iterated function systems; subdivision scheme spectral curves; hyperkähler metrics; integrable systems; magnetic monopoles; spectral curves; hyperkähler metrics; integrable systems; magnetic monopoles
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spectral radius; iterated function systems; subdivision scheme Jacobi matrices; Titchmarsh-Weyl \(m\)-function; orthogonal polynomials; inverse spectral theory; Green function; probability distributions; factorization of the inverse problem; parametrization of the fibres; singular solutions; explicit formulas
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spectral radius; iterated function systems; subdivision scheme zero-dimensional scheme; Cayley-Bacharach property; Hilbert function; liaison theory; Dedekind different
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spectral radius; iterated function systems; subdivision scheme spectral action; spectral triple; noncommutative torus; zeta function; holomorphic continuation; Diophantine number; noncommutative integration; residue; covariant Dirac operator; noncommutative geometry
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spectral radius; iterated function systems; subdivision scheme zero-dimensional scheme; Hilbert function; postulation
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spectral radius; iterated function systems; subdivision scheme moduli space of curves; \(n\)-differentials; cyclic covers; Bergman tau function; integrable systems
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spectral radius; iterated function systems; subdivision scheme Hilbert function; Hilbert scheme
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spectral radius; iterated function systems; subdivision scheme GKZ-systems; \({\mathcal A}\)-hypergeometric function; \({\mathcal A}\)-hypergeometric system
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spectral radius; iterated function systems; subdivision scheme arithmetically Cohen-Macaulay scheme; arithmetic genus; Borel-fixed monomial ideal; degree; generic initial idea; Hilbert function; minimal system of generators; regularity
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spectral radius; iterated function systems; subdivision scheme Hilbert squares; derived categories; deformations; Hilbert scheme of points; Hilbert square; exceptional coordinate sheaf; Fourier-Mukai functor; Hochschild cohomology; relative local-to-global Ext spectral sequence; faithful; full and faithfull; relative l...
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spectral radius; iterated function systems; subdivision scheme Kac-Moody Lie algebras; Kac-Moody groups; representation theory; flag varieties; semisimple simply-connected algebraic groups; parabolic subgroups; Weyl-Kac character formula; \(\mathfrak n\)-homology; ind-varieties; pro-groups; pro-Lie algebras; Tits syste...
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spectral radius; iterated function systems; subdivision scheme finite fields; character sums; Weil conjectures; Riemann-Roch theorem; points on curves over finite fields; zeta-functions; \(L\)-functions; idele class characters; modular forms; automorphic representations; Ramanujan graphs; Alon-Boppana theorem; regular ...
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spectral radius; iterated function systems; subdivision scheme hyperelliptic curves; real multiplication; local zeta function; multi-homogeneous polynomial systems; Schoof-Pila's algorithm
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spectral radius; iterated function systems; subdivision scheme Hilbert scheme of points; Young walls; generating function
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spectral radius; iterated function systems; subdivision scheme graded \(\mathbb{E}_\infty\)-ring; projective scheme; quasi-coherent sheaf; spectral algebraic geometry
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spectral radius; iterated function systems; subdivision scheme scheme of finite type; zeta function; local field; Hasse-Weil \(L\)-function; complete discrete valuation field; adeles
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spectral radius; iterated function systems; subdivision scheme Hilbert function; postulation; smooth quadric surface; zero-dimensional scheme
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spectral radius; iterated function systems; subdivision scheme HOMFLY-PT polynomials; torus knots; free fermions; Ooguri-Vafa partition function; spectral curve; Chekhov-Eynard-Orantin topological recursion; Hurwitz numbers; Jacobi polynomials
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spectral radius; iterated function systems; subdivision scheme Bernstein polynomials; algebraic systems; subdivision solver; linear programming; simplex algorithm
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spectral radius; iterated function systems; subdivision scheme plane curves; zeta function; Jacobian conjecture; Puiseux expansions; singularities; pencils of conics; universal schemes; Hilbert scheme
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spectral radius; iterated function systems; subdivision scheme quivers; geometric invariant theory; quot scheme; linear dynamical systems
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spectral radius; iterated function systems; subdivision scheme tropical geometry; Riemann's theta function; Toda lattice; general isolevel set; tropical spectral curve
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spectral radius; iterated function systems; subdivision scheme multidimensional scattering problem; Bloch function; spectral data; inverse spectral problem
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spectral radius; iterated function systems; subdivision scheme Baker-Akhiezer function; Jacoby matrix; inverse spectral problem
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spectral radius; iterated function systems; subdivision scheme semialgebraic set; semialgebraic function; Zariski spectrum; spectral map; \texttt{sa}-tuple; suitably arranged \texttt{sa}-tuple; singleton fiber; finite fiber; infinite fiber
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spectral radius; iterated function systems; subdivision scheme Abelian integrals; Poincare-Pontryagin functions; Melnikov functions; polynomial systems; cohomology decompositions; displacement function
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spectral radius; iterated function systems; subdivision scheme quantum statistical mechanical systems; Gibbs states; zeta function; polylogarithms; Tannakian categories; Weil numbers; motives; Weil restriction
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