# Vadim Anshelevich

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**Vadim V. Anshelevich**,

a Russian American physicist, mathematician and computer scientist. He holds a Ph.D. in Physics on Kubo-Martin-Schwinger states from Moscow State University under Yakov G. Sinai ^{[2]}, and researched and published on the structure of DNA and on Neural Networks.
Vadim Anshelevich has been fascinated by the game of Hex since Martin Gardner introduced it to general public ^{[3]}
^{[4]}, and is author of the first successful Hex program Hexy ^{[5]} , which won the 5th Computer Olympiad, London 2000.

## Contents

# Hexy

In his 2002 paper *A hierarchical approach to computer Hex*, Anshelevich acknowledged Claude Shannon, who build an analogue Hex-playing machine using electrical resistor circuits ^{[6]} , which was model in Anshelevich program
^{[7]} :

A Hex-playing machine was built by Shannon and Moore. Shannon associated a two-dimensional electrical charge distribution with any given Hex position. This machine made decisions based on properties of the corresponding potential field. We acknowledge that our work is greatly inspired by the beauty of Shannon’s original idea.

# Selected Publications

^{[8]} ^{[9]}

## 1970 ...

- Vadim Anshelevich (
**1972**).*Uniqueness of states satisfying Kubo-Martin-Schwinger boundary conditions in the case of one-dimensional quantum spin systems with finite-range potential*. Theoretical and Mathematical Physics, Vol. 13, No. 1^{[10]} - Vadim Anshelevich (
**1974**).*Kubo-Martin-Schwinger States and Some Problems of "Noncommutative" Theory of Probability*. Thesis, Moscow State University, advisor Yakov G. Sinai - Yakov G. Sinai, Vadim Anshelevich (
**1976**).*Some Problems of Non-Commutative Ergodic Theory*. Russian Mathematical Surveys, Vol. 31, No. 4 - Alexander Vologodskii, A.V. Lukashin, Vadim Anshelevich, Maxim Frank-Kamenetskii (
**1979**).*Fluctuations in superhelical DNA*. Nucleic Acids Research, Vol. 6, No. 3 - Alexander Vologodskii, Vadim Anshelevich, A.V. Lukashin, Maxim Frank-Kamenetskii (
**1979**).*Statistical mechanics of supercoils and the torsional stiffness of the DNA double helix*. Nature, Vol. 280 - Vadim Anshelevich, Alexander Vologodskii, A.V. Lukashin, Maxim Frank-Kamenetskii (
**1979**).*Statistical-mechanical treatment of violations of the double helix in supercoiled DNA*. Biopolymers, Vol. 18, No. 11

## 1980 ...

- Vadim Anshelevich (
**1980**).*First integrals and stationary states for quantum Heisenberg spin dynamics*. Theoretical and Mathematical Physics, Vol. 43, No. 1 - Vadim Anshelevich, Alexander Vologodskii (
**1981**).*Laplace operator and random walk on one-dimensional nonhomogeneous lattice*. Journal of Statistical Physics, Vol. 25, No. 3^{[11]} - Vadim Anshelevich, Konstantin Khanin, Yakov G. Sinai (
**1982**).*Symmetric random walks in random environments*. Communications in Mathematical Physics, Vol. 85, No. 3 - Maxim Frank-Kamenetskii, Vadim Anshelevich, A.V. Lukashin (
**1987**).*Polyelectrolyte model of DNA*. Physics-Uspekhi, Vol. 151, No. 4 - Vadim Anshelevich, Bagrat Amirikyan, A.V. Lukashin, Maxim Frank-Kamenetskii (
**1989**).*On the Ability of neural networks to generalize through induction*. Biological Cybernetics, Vol. 61, No. 2

## 1990 ...

- Vadim Anshelevich (
**1990**).*Neural Networks*. Review, in Multi Component Systems (Russian) - Vadim Anshelevich, Alexander Vologodskii (
**1999**).*Random walk on a one dimensional inhomogeneous lattice*. Journal of Physics A General Physics, Vol. 15. No. 1

## 2000 ...

- Vadim Anshelevich (
**2000**).*The Game of Hex: The Hierarchical Approach*. Combinatorial Game Theory Workshop, MSRI, Berkeley, pdf - Vadim Anshelevich (
**2000**).*The Game of Hex: An Automatic Theorem Proving Approach to Game Programming*. Proceedings of the 17th National Conference on Artificial Intelligence, pdf^{[12]} - Vadim Anshelevich (
**2000**).*The Game of Hex: The Hierarchical Approach and its Discovery*. 5th Computer Olympiad Workshop - Vadim Anshelevich (
**2000**).*Hexy wins Hex Tournament*. ICGA Journal, Vol. 23, No. 3, pdf » 5th Computer Olympiad - Vadim Anshelevich (
**2002**).*A hierarchical approach to computer Hex*. Artificial Intelligence, Chips challenging champions: games, computers and Artificial Intelligence, pdf

# External Links

- Hexy plays Hex
- Vadim Anshelevich - The Mathematics Genealogy Project
- Vadim Anshelevich's ICGA Tournaments
- ICGA: Hex by Vadim Anshelevich

# References

- ↑ Combinatorial Game Theory Research Workshop, Berkeley, California, from Photo Gallery: Friends and Peers by Darse Billings
- ↑ Vadim Anshelevich (
**1974**).*Kubo-Martin-Schwinger States and Some Problems of "Noncommutative" Theory of Probability*. Ph.D. Thesis, Moscow State University - ↑ Hexy plays Hex - Who is Vanshel
- ↑ Martin Gardner (
**1959**).*The Game of Hex*. in*The Scientific American Book of Mathematical Puzzles and Diversions*, pp. 73-83, Simon and Schuster - ↑ Hexy plays Hex
- ↑ Claude E. Shannon (
**1953**).*Computers and Automata*. Proceedings of the Institute of Radio Engineers, Vol. 41, No. 10 - ↑ Vadim Anshelevich (
**2002**).*A hierarchical approach to computer Hex*. Artificial Intelligence, Chips challenging champions: games, computers and Artificial Intelligence, pdf - ↑ Vadim Anshelevich - ResearchGate
- ↑ dblp: Vadim V. Anshelevich
- ↑ Kubo-Martin-Schwinger state from Wikipedia
- ↑ Laplace operator from Wikipedia
- ↑ AAAI-2000 Outstanding Paper Awards