Mark Adler
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American mathematician
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Mathematics
#7947
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#10794
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#2132
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Number Theory
#310
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#387
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#53
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Algebra
#471
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#636
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#91
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Measure Theory
#2894
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#3441
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#834
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Mathematics
Why Is Mark Adler Influential?
(Suggest an Edit or Addition)Mark Adler's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-devries type equations (1978) (729)
- Completely Integrable Systems, Euclidean Lie-algebras, and Curves (1980) (356)
- On a class of polynomials connected with the Korteweg-deVries equation (1978) (296)
- Linearization of Hamiltonian systems, Jacobi varieties and representation theory☆ (1980) (203)
- A matrix integral solution to two-dimensionalWp-gravity (1992) (151)
- Algebraic Integrability, Painlevé Geometry and Lie Algebras (2004) (149)
- The Spectrum of coupled random matrices (1999) (118)
- Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials (1995) (106)
- Classical Skew Orthogonal Polynomials and Random Matrices (1999) (106)
- A Lax representation for the vertex operator and the central extension (1995) (100)
- PDEs for the joint distributions of the Dyson, Airy and Sine processes (2004) (98)
- Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum (2000) (97)
- Kowalewski's asymptotic method, Kac-Moody lie algebras and regularization (1982) (95)
- The complex geometry of the Kowalewski-Painlevé analysis (1989) (94)
- Integrals over classical groups, random permutations, toda and Toeplitz lattices (1999) (88)
- Vertex Operator Solutions to the Discrete KP-Hierarchy (1999) (82)
- The algebraic integrability of geodesic flow onSO(4) (1982) (80)
- The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows onSO(4) — a two-dimensional family of Lax pairs (1988) (78)
- Moment Matrices and Multi-Component KP, with Applications to Random Matrix Theory (2006) (72)
- Some finite dimensional integrable systems and their scattering behavior (1977) (72)
- The Pfaff lattice and skew-orthogonal polynomials (1999) (70)
- Generalized Orthogonal Polynomials, Discrete KP and Riemann–Hilbert Problems (1999) (69)
- Random Matrices, Vertex Operators and the Virasoro-algebra (1995) (64)
- String orthogonal polynomials, string equations, and 2 Toda symmetries (1997) (62)
- From the ω∞-algebra to its central extension: a τ-function approach (1994) (61)
- Birkhoff Strata, Backlund-transformations, and Regularization of Isospectral Operators (1994) (59)
- Dyson's nonintersecting Brownian motions with a few outliers (2007) (57)
- Toda versus Pfaff lattice and related polynomials (2002) (54)
- Nonintersecting random walks in the neighborhood of a symmetric tacnode (2010) (51)
- Recursion Relations for Unitary Integrals, Combinatorics and the Toeplitz Lattice (2002) (47)
- Random matrices, Virasoro algebras, and noncommutative KP (1998) (47)
- Group factorization, moment matrices, and Toda lattices (1997) (44)
- On the Bäcklund transformation for the Gel'fand-Dickey equations (1981) (44)
- Random matrix minor processes related to percolation theory (2013) (41)
- Darboux transforms on band matrices, weights and associated polynomials (2000) (41)
- Double Aztec diamonds and the tacnode process (2011) (41)
- The Toda lattice, Dynkin diagrams, singularities and Abelian varieties (1991) (39)
- The solution to the q-KdV equation (1997) (38)
- Pfaff τ -functions (2001) (36)
- Airy processes with wanderers and new universality classes. (2008) (33)
- Geodesic flow on SO(4) and the intersection of quadrics. (1984) (33)
- Universality for the Pearcey process (2009) (33)
- Pfaff $\tau$-functions (1999) (28)
- Limit matrices for the Toda flow and periodic flags for loop groups (1993) (28)
- Consecutive minors for Dyson’s Brownian motions (2010) (23)
- The Dyson Brownian Minor Process (2010) (19)
- Note on the power law of forgetting (2017) (19)
- From the Pearcey to the Airy Process. (2010) (19)
- Rational solutions to the Pfaff lattice and Jack polynomials (2002) (19)
- Tacnode GUE-minor processes and double Aztec diamonds (2013) (18)
- Non-linear PDEs for gap probabilities in random matrices and KP theory (2011) (18)
- The intersection of four quadrics in ℙ6, abelian surfaces and their moduli (1987) (16)
- Completely integrable systems and symplectic actions (1979) (14)
- A matrix integral solution to [P, Q]=P and matrix laplace transforms (1996) (14)
- Compatible Poisson Structures and the Virasoro Algebra (1994) (14)
- Some finite dimensional integrable systems (1978) (14)
- Toda-Darboux maps and vertex operators (1997) (13)
- Non-intersecting Brownian motions leaving from and going to several points (2010) (12)
- The Pfaff lattice, Matrix integrals and a map from Toda to Pfaff (1999) (10)
- Tilings of Non-convex Polygons, Skew-Young Tableaux and Determinantal Processes (2016) (9)
- Coupled GUE-minor Processes (2013) (8)
- Lozenge Tilings of Hexagons with Cuts and Asymptotic Fluctuations: a New Universality Class (2017) (8)
- Coupled GUE-Minor Processes and Domino Tilings (2015) (7)
- Probability distributions related to tilings of non-convex polygons (2018) (6)
- Nonlinear PDEs for Fredholm determinants arising from string equations. (2012) (6)
- A PDE for non-intersecting Brownian motions and applications (2009) (6)
- Some algebraic relations commom to a set of integrable partial and ordinary differential equations (1977) (5)
- Fredholm determinants of general (1,p)-kernels and reductions of non-linear integrable PDE's (2011) (3)
- Singularity confinement for a class of m-th order difference equations of combinatorics (2006) (3)
- The AKS theorem, A.C.I. systems and random matrix theory (2018) (3)
- A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles (2019) (3)
- Virasoro action on Schur function expansions, skew Young tableaux, and random walks (2005) (1)
- Integrable Systems, Random Matrices, and Random Processes (2011) (1)
- The Geometry of Abelian Varieties (2004) (1)
- On the Relationship of Some Results of Gelfand-Dikii and P. Moerbeke, and a Natural Trace Functional for Formal Asymptotic Pseudo-Differential Operators. (1978) (1)
- Integrable Spinning Tops (2004) (0)
- PR ] 2 8 Se p 20 04 Expectations of hook products on large partitions (2007) (0)
- Chapter 5 Spectral statistics of orthogonal and symplectic ensembles (2009) (0)
- Expectations of hook products on large partitions (2004) (0)
- PDEs for the Gaussian ensemble with external source and the Pearcey distribution (2007) (0)
- The persistence of charm in the relentless decay of beauty (1990) (0)
- Expectations of hook products on large partitions and the chi-square distribution (2007) (0)
- PR / 0 50 90 47 v 1 2 S ep 2 00 5 PDE ’ s for the Gaussian ensemble with external source and the Pearcey distribution (2005) (0)
- Tilings of Non-convex Polygons, Skew-Young Tableaux and Determinantal Processes (2018) (0)
- Weight Homogeneous A.c.i. Systems (2004) (0)
- Double interlacing in random tiling models (2023) (0)
- PR ] 3 0 Se p 20 04 PDE ’ s for the joint distributions of the Dyson , Airy and Sine processes (2005) (0)
- Periodic Toda Lattices Associated to Cartan Matrices (2004) (0)
- PDE’s for the Dyson, Airy and Sine processes (2005) (0)
- PR ] 1 4 D ec 2 00 6 Joint probability for the Pearcey process (2009) (0)
- Integrable Systems on Poisson Manifolds (2004) (0)
- Integrable Geodesic Flow on SO(4) (2004) (0)
- Lozenge Tilings of Hexagons with Cuts and Asymptotic Fluctuations: a New Universality Class (2018) (0)
- Tacnode GUE-minor processes and double Aztec diamonds (2014) (0)
- From the Omega-infinity-algebra To its Central Extension - a Tau-function Approach (1994) (0)
- PR ] 1 9 A pr 2 00 4 PDE ’ s for the joint distributions of the Dyson , Airy and Sine processes (2005) (0)
- Painlevé Solutions and Algebraic Complex Integrability (1990) (0)
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What Schools Are Affiliated With Mark Adler?
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