23 citations · 51 across the 10 of their papers we have counts for
Showing cond-mat.stat-mechShow all
3 papers · 1 filter
cond-mat.stat-mech2025
Self-Similar Bridge between Regular and Critical Regions
V. I. Yukalov, E. P. Yukalova, D. Sornette
In statistical and nonlinear systems, two qualitatively distinct parameter regions are typically identified: the regular region, characterized by smooth behavior of key quantities,…
cond-mat.stat-mech2023★ 6 cited
A standard form of master equations for general non-Markovian jump processes: the Laplace-space embedding framework and asymptotic solution
Kiyoshi Kanazawa, Didier Sornette
We present a standard form of master equations (ME) for general one-dimensional non-Markovian (history-dependent) jump processes, complemented by an asymptotic solution derived fro…
cond-mat.stat-mech2001★ 23 cited
Theory of self-similar oscillatory finite-time singularities in Finance, Population and Rupture
D. Sornette, K. Ide
This is a short letter summarizing the long paper cond-mat/0106047 in which we present a simple two-dimensional dynamical system reaching a singularity in finite time decorated by…