E. Mukoseeva

collaborators

3 papers

math.AP2019

Minimality of the ball for a model of charged liquid droplets

Ekaterina Mukoseeva, Giulia Vescovo

We deduce that charged liquid droplets minimizing Debye-Hückel-type free energy are spherical in the small charge regime. The variational model was proposed by Muratov and Novaga i…

math.AP2019

The sharp quantitative isocapacitary inequality

Guido De Philippis, Michele Marini, Ekaterina Mukoseeva

We prove a sharp quantitative form of the classical isocapacitary inequality. Namely, we show that the difference between the capacity of a set and that of a ball with the same vol…

math-ph2018

Another proof of $p_{c} = \frac{q}{1 + q}$ on $Z^{2}$ with $q \in [1, 4]$ for random-cluster model

E. Mukoseeva, D. Smirnova

In this paper we give another proof of $p_{c} = \frac{q}{1 + q}$ on $Z^{2}$ with $q \in [1, 4]$ , based on the method of parafermionic observables.

Minimality of the ball for a model of charged liquid droplets

The sharp quantitative isocapacitary inequality

Another proof of pc​=1+q​q​​ on Z2 with q∈[1,4] for random-cluster model

Another proof of $p_{c} = \frac{q}{1 + q}$ on $Z^{2}$ with $q \in [1, 4]$ for random-cluster model