Projects per year

## Fingerprint Dive into the research topics where Yakov G. Sinai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Navier-Stokes System
Mathematics

Dynamical system
Mathematics

dynamical systems
Physics & Astronomy

Limiting Distribution
Mathematics

Limit Theorems
Mathematics

Initial conditions
Mathematics

Lorentz gas
Physics & Astronomy

Statistical Mechanics
Mathematics

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2009 2019

- 2 Finished

## New Trends in Mathematical Fluid Dynamics and Ergodic Number Theory

NSF - National Science Foundation

8/1/13 → 7/31/19

Project: Research project

## Ergodic and Statistical Phenomena in Dynamics

NSF - National Science Foundation

6/1/09 → 5/31/15

Project: Research project

## Research Output 1961 2017

## Complex Singular Solutions of the 3-d Navier–Stokes Equations and Related Real Solutions

Boldrighini, C., Li, D. & Sinai, Y. G., Apr 1 2017, In : Journal of Statistical Physics. 167, 1Research output: Contribution to journal › Review article

Singular Solutions

3D

Navier-Stokes Equations

Statistical Physics

Blow-up

## Eigenfunctions of Laplacians in some two-dimensional domains

Sinai, Y. G. & Vinogradov, I., Jan 1 2017,*Contemporary Mathematics.*American Mathematical Society, Vol. 698. p. 195-199 5 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Eigenfunctions

Laplace Operator

Dirichlet Boundary Conditions

Operator

## Ergodic and statistical properties of b-free numbers

Avdeeva, M., Cellarosi, F. & Sinai, Y. G., Jan 1 2017, In : Theory of Probability and its Applications. 61, 4, p. 569-589 21 p.Research output: Contribution to journal › Article

Random process

Statistical property

Surd

Weak Mixing

Short Intervals

## An application of the renormalization group method to stable limit laws

Li, D. & Sinai, Y. G., Oct 18 2014, In : Journal of Statistical Physics. 157, 4-5, p. 915-930 16 p.Research output: Contribution to journal › Article

Limit Laws

renormalization group methods

Partial Sums

Probability Density

Identically distributed

## New Erdo{double acute}s-Kac Type Theorems for Signed Measures on Square-Free Integers

Avdeeva, M., Li, D. & Sinai, Y. G., Jan 1 2014, In : Journal of Statistical Physics. 154, 1-2, p. 327-333 7 p.Research output: Contribution to journal › Article

Divisor Function

Signed Measure

Local Limit Theorem

Counting Function

Square free