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SUMMARY:Correlations\, transitions and early warning signals for non-equil
ibrium steady or quasi-steady states
DTSTART;VALUE=DATE-TIME:20170314T090000Z
DTEND;VALUE=DATE-TIME:20170314T100000Z
DTSTAMP;VALUE=DATE-TIME:20180426T165130Z
UID:indico-event-5564@cern.ch
DESCRIPTION:The spectrum of time series has found successful applications
in the understanding of financial markets but has been little used for sto
chastic dynamical systems. The reason seems to be that most systems studie
d have a clear spatial structure and many other techniques have been succe
ssfully applied. We therefore revisited some well known systems and in par
ticular found analytically that a power law in space implies a power law i
n the eigenvalues of the correlation spectra [1]. The proof is not inverti
ble and therefore we got interested in analyzing the a case where spatial
correlation are known analytically and display no power law\, named the to
tally antisymmetric simple exclusion process (TASEP) [2]. Here we found [3
] a power law for one critical line in parameter space and further interes
ting deviations from the random matrix behavior\, mainly in what is known
as the constant current region.\n\n[1] T. Prosen\, B. Buča and T.H. Selig
man\, (2014). Spectral analysis of finite-time correlation matrices near e
quilibrium phase transitions. EPL (Europhysics Letters)\, 2015\; 108(2)\,
20006.\n[2] Derrida B. Phys. Rep.. 1998\; 301(1)\, 65–83\n[3] S. Biswas\
, F. Leyvraz\, P. Monroy Castilero and T.H. Seligman\, Sci Rep. 2017\; 7:
40506.\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId=55
64
LOCATION: A304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5564
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