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| "A fact is a simple statement that everyone believes. It is innocent unless found guilty.
A hypothesis is a novel suggestion that no one wants to believe. It is guilty until found
effective." --
Edward Teller |
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| I work in the general area of complex systems research,
bringing and developing tools from mathematics, equilibrium and non-equlibrium
statistical physics, nonlinear dynamics and chaos theory to bear on applications
ranging from fluid flows, processes in solids, to complex networked systems in
biology, sociology and communications. Lately I have been increasingly interested
in non-traditional models of learning and computation by physical systems, in
particular brain neuronal systems and agent-based approaches to social behavior.
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| Postdoctoral position opening:
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| I have a postdoc position open in my group, to be filled
as soon as possible (preferably by January, 2012). This position requires good
programming skills, analytical skills and experience in network research. Send me
an email for more information (work description, salary, etc.). To apply, please
send me a) a current CV with publication list included, and b) names and contact info for
two (2) references.
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| Analog fun:
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| Mária Ercsey-Ravasz
has implemented an analog Sudoku solver (+1-in-9 SAT)
based on the paper ♣ below, and with Erzsébet
Ravasz Regan have generated a
movie about
the "flow of thoughts" in some of the number fields (the right frame of the movie) by the solver,
when solving one of the hardest Sudoku puzzles on record (the puzzle is from Elser et.al.,
PNAS, 104(2) 418-423 (2007), Fig 5 of the Supporting Info). The movie can also be
downloaded in wmv format and in mp4
format.
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Recent papers
| • M. Ercsey-Ravasz, R. Lichtenwalter, N.V. Chawla and Z. Toroczkai.
"Range-limited centrality measures in non-weighted and weighted complex networks."
submitted ,
(2011).
arxiv.org/1111.5382
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| • H. Kim, C.I. Del Genio, K.E. Bassler and Z. Toroczkai.
"Constructing and sampling directed graphs with given degree sequences."
New J. Phys.
(2012), in press.
arxiv.org/1109.4590
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| • N. T. Markov, M. Ercsey-Ravasz, M.A. Gariel,
A.R. Ribiero Gomes, C. Lamy, J. Vezoli, P. Misery, A. Falchier, R. Quilodran,
J. Sallet, R. Gamanut, C. Huissoud, S. Clavagnier, P. Giroud, D. Sappey-Marinier,
P. Barone, C. Dehay, Z. Toroczkai, K. Knoblauch, D.C. Van Essen, H. Kennedy.
"High density of the interareal cortical connectivity matrix in the macaque."
submitted ,
(2011).
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| • M. Ercsey-Ravasz, Z. Toroczkai, Z. Lakner and J. Baranyi.
"Complexity and vulnerability in the human food web."
submitted ,
(2011).
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| ♣ M. Ercsey-Ravasz and Z. Toroczkai.
"Optimization hardness as transient chaos in an analog approach to constraint satisfaction."
Nature Physics
7, 966-970 (2011) | doi:10.1038/nphys2105
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| • A. Asztalos and Z. Toroczkai.
"Network discovery by generalized random walks."
Europhysics Letters
92 50008 (2010).
arxiv.org/1008.4980 (the arxiv version
contains the proofs as well).
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| • N.T. Markov, P. Misery, A. Falchier, C. Lamy,
J. Vezoli, R. Quilodran, P. Giroud, M.A.
Gariel, M. Ercsey-Ravasz, L.J. Pilaz, C. Huissoud, P. Barone, C. Dehay, Z. Toroczkai,
D.C. Van Essen, H. Kennedy, K. Knoblauch.
"Weight consistency specifies regularities of cortical networks."
Cereb. Cortex
21 , 1254-1272 (2010).
free journal access .
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| • M. Ercsey-Ravasz and Z. Toroczkai.
"Centrality scaling in large networks."
Phys. Rev. Lett.
105 , 038701 (2010).
physics.soc-ph/1003.0692v2.pdf
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| • C.I. Del Genio, H. Kim, Z. Toroczkai and K.E. Bassler.
"Efficient and exact sampling of simple graphs with given arbitrary degree sequence."
PLoS ONE
5(4) , e10012 (2010).
physics.soc-ph/1002.2975v1.pdf
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| • P. L. Erdős, I. Miklós, Z. Toroczkai.
"A simple Havel-Hakimi type algorithm to
realize graphical degree sequences of directed graphs."
Electronic J. Combinatorics
17(1) , R66 (2010).
math.CO/0905.4913v2.pdf
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| • H. Kim, Z. Toroczkai, I. Miklós,
P.L. Erdős and L. Székely.
"Degree-based graph construction."
J. Phys. A: Math. Theor.
42, 392001 (2009). Fast Track Communication.
math.CO/0905.4892v2.pdf
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Zoltán Toroczkai
Professor,
Physics Department,
Concurrent Professor,
Computer Science and Engineering,
University of Notre Dame
Erdős
nr: 2
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iCeNSA
University of Notre Dame
Bldg. 1050, Suite. 384
Contact Ms. Yentl Ceballo, Rm 384E
Phone: +1 (574) 631-7095
FAX: +1 (574) 631-5952
E-mail: icensa@nd.edu
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