65 citations · 190 across the 6 of their papers we have counts for
6 papers
On Constructive-Deductive Method For Plane Euclidean Geometry
Evgeny V. Ivashkevich
Constructive-deductive method for plane Euclidean geometry is proposed and formalized within Coq Proof Assistant. This method includes both postulates that describe elementary cons…
Kronecker's Double Series and Exact Asymptotic Expansion for Free Models of Statistical Mechanics on Torus
E. V. Ivashkevich, N. Sh. Izmailian, Chin-Kun Hu
For the free models of statistical mechanics on torus, exact asymptotic expansions of the free energy, the internal energy and the specific heat in the vicinity of the critical poi…
Exact velocity of dispersive flow in the asymmetric avalanche process
E. V. Ivashkevich, A. M. Povolotsky, V. B. Priezzhev
Using the Bethe ansatz we obtain the exact solution for the one-dimensional asymmetric avalanche process. We evaluate the velocity of dispersive flow as a function of driving force…
Correlation Functions of Dense Polymers and c=-2 Conformal Field Theory
E. V. Ivashkevich
The model of dense lattice polymers is studied as an example of non-unitary Conformal Field Theory (CFT) with . ``Antisymmetric'' correlation functions of the model are prove…
Introduction to the Sandpile Model
E. V. Ivashkevich, V. B. Priezzhev
This article is based on a talk given by one of us (EVI) at the conference ``StatPhys-Taipei-1997''. It overviews the exact results in the theory of the sandpile model and discusse…
Symmetries of the stochastic Burgers equation
E. V. Ivashkevich
All Lie symmetries of the Burgers equation driven by an external random force are found. Besides the generalized Galilean transformations, this equation is also invariant under the…