Random surface growth and Karlin-McGregor polynomials
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Publication:1994514
DOI10.1214/18-EJP236zbMath1408.60091arXiv1709.10444OpenAlexW2963409012MaRDI QIDQ1994514
Publication date: 1 November 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.10444
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Nearest neighbor Markov dynamics on Macdonald processes
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary
- The boundary of the Gelfand-Tsetlin graph: A new approach
- From duality to determinants for \(q\)-TASEP and ASEP
- BC type \(z\)-measures and determinantal point processes
- \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials
- Strong stationary times via a new form of duality
- Coincidence properties of birth and death processes
- An analytical approach to the differential equations of the birth-and- death process
- Large time asymptotics of growth models on space-like paths. I: Push ASEP
- Some examples of dynamics for Gelfand-tsetlin patterns
- A duality relation for entrance and exit laws for Markov processes
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- Représentations factorielles de type \(II_1\) de \(U(\infty)\)
- The equivalence of absorbing and reflecting barrier problems for stochastically monotone Markov processes
- The problem of harmonic analysis on the infinite-dimensional unitary group.
- Stochastic processes and orthogonal polynomials
- Markov processes on the duals to infinite-dimensional classical Lie groups
- An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations
- Flows, coalescence and noise.
- The ASEP and determinantal point processes
- Macdonald processes
- Dyson's Brownian motions, intertwining and interlacing
- Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
- Brownian motions with one-sided collisions: the stationary case
- The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
- The Classification of Birth and Death Processes
- On Oscillation Properties and the Interval of Orthogonality of Orthogonal Polynomials
- Random surface growth with a wall and Plancherel measures for O (∞)
- Stochastic monotonicity of birth–death processes
- Determinants of orthogonal polynomials
- Bilateral Birth and Death Processes
- On the Generating Function of a Doubly Infinite, Totally Positive Sequence
- Markov functions
