000			02191n a2200313#a 4500
001			40160
003			P5A
005			20230123132003.0
007			cr cuuuuuauuuu
008			210901s2021 bl eng d
035			_aocm51338542
040			_aP5A _cP5A
082	0	4	_acs
090			_acs
100	1		_aKious, Daniel _u(University of Bath, UK) _91234
245	1	0	_aRandom walk on the simple symmetric exclusion process/ _cDaniel Kious.
260			_aRio de Janeiro: _bIMPA, _c2021.
300			_aonline lecture
500			_aLecture - online event
505	2		_aAbstract: In a joint work with Marcelo R. Hilário and Augusto Teixeira, we investigate the long-term behavior of a random walker evolving on top of the simple symmetric exclusion process (SSEP) at equilibrium. At each jump, the random walker is subject to a drift that depends on whether it is sitting on top of a particle or a hole. The asymptotic behavior is expected to depend on the density ? in [0, 1] of the underlying SSEP. Our first result is a law of large numbers (LLN) for the random walker for all densities ? except for at most two values ?- and ?+ in [0, 1], where the speed (as a function fo the density) possibly jumps from, or to, 0. Second, we prove that, for any density corresponding to a non-zero speed regime, the fluctuations are diffusive and a Central Limit Theorem holds. Our main results extend to environments given by a family of independent simple symmetric random walks in equilibrium .
650	0	4	_aMatematica. _2larpcal _919899
697			_aCongressos e Seminários. _923755
700	1		_aHilário, Marcelo _95530
700	1		_aTeixeira, Augusto Quadros _95529
711	2		_aSeminário Brasileiro de Probabilidade _d(2021: _cIMPA, Brazil) _91228
856	4		_zVIDEO _uhttps://www.youtube.com/watch?v=AKo0rXiZxgg&list=PLo4jXE-LdDTS5bksmmY2q_qPlkpgketQZ&index=7
856	4		_zEVENTO _uhttps://sbp.impa.br/
942			_2impa _cVIDEO
999			_aRANDOM walk on the simple symmetric exclusion process. Daniel Kious. Rio de Janeiro: IMPA, 2021. online lecture. Disponível em: <https://www.youtube.com/watch?v=AKo0rXiZxgg&list=PLo4jXE-LdDTS5bksmmY2q_qPlkpgketQZ&index=7>. Acesso em: 1 set. 2021. _c38801 _d38801