Large-N dynamics of the spiked tensor model with random initial conditions

08/26/2022

∙

In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-N saddle point equations are dominated by the melonic type diagrams.

READ FULL TEXT

Large-N dynamics of the spiked tensor model with random initial conditions

Combining Particle and Tensor-network Methods for Partial Differential Equations via Sketching

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations

Distributions in the constant-differentials Pólya process

SPRAT: A Spatially-Explicit Marine Ecosystem Model Based on Population Balance Equations

Graph-to-local limit for the nonlocal interaction equation

Asynchronous semi-anonymous dynamics over large-scale networks

Periodic Pólya Urns, the Density Method, and Asymptotics of Young Tableaux

Large-N dynamics of the spiked tensor model with random initial conditions

Related Research

Combining Particle and Tensor-network Methods for Partial Differential Equations via Sketching

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations

Distributions in the constant-differentials Pólya process

SPRAT: A Spatially-Explicit Marine Ecosystem Model Based on Population Balance Equations

Graph-to-local limit for the nonlocal interaction equation

Asynchronous semi-anonymous dynamics over large-scale networks

Periodic Pólya Urns, the Density Method, and Asymptotics of Young Tableaux