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SUMMARY:Random Walks on Networks: Effective Distance\, Entropy\, and Fract
 ional Dynamics
DTSTART;VALUE=DATE-TIME:20260414T223200Z
DTEND;VALUE=DATE-TIME:20260414T223900Z
DTSTAMP;VALUE=DATE-TIME:20260412T084655Z
UID:indico-contribution-336@fisindico.uniandes.edu.co
DESCRIPTION:Speakers: Juan Pablo Castro Rodriguez (Universidad Nacional de
  Colombia)\nWe develop a path-integral formulation of first-passage random
  walks on networks and extend it to fractional transport dynamics. In this
  framework\, the random-walk effective distance is defined from the ensemb
 le of all first-passage trajectories connecting a source to a target\, wei
 ghted by both their probabilities and their lengths. This construction nat
 urally introduces a trajectory partition function\, an effective action\, 
 and a free-energy-like interpretation of transport on networks. We further
  define the Shannon entropy of the first-passage trajectory ensemble and n
 ode-level indicators based on total shortest-path and total random-walk ef
 fective distances.\n\nThe formalism is first analyzed in simple benchmark 
 topologies\, where it captures symmetry\, boundary effects\, hub dominance
 \, and hierarchy. It is then generalized to the fractional case by replaci
 ng local random-walk dynamics with nonlocal transport induced by the fract
 ional network operator. The results show that fractional dynamics reshapes
  effective distances\, trajectory diversity\, and node accessibility by en
 hancing long-range exploration across the network. Altogether\, the framew
 ork provides a unified description of local and nonlocal spreading on netw
 orks and offers a basis for future applications to complex systems.\n\nhtt
 ps://fisindico.uniandes.edu.co/event/23/contributions/336/
LOCATION:Universidad Nacional Edificio 564
URL:https://fisindico.uniandes.edu.co/event/23/contributions/336/
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