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Nature Physics, ISSN 1745-2473, 10/2015, Volume 11, Issue 10, pp. 844 - 847
  How long must one undertake a random search to visit all sites of a given domain? This time, known as the cover time1, is a key observable to quantify the... 
Searches | Random walk theory | Pathogens | Tasks | Searching | Random walk | Strategy | Exploration | Robustness | Optimization
Journal Article
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 12/2019, Volume 123, Issue 25, p. 250603
In noisy environments such as the cell, many processes involve target sites that are often hidden or inactive, and thus not always available for reaction with... 
1ST-PASSAGE TIMES | CHROMATIN | PHYSICS, MULTIDISCIPLINARY | KINETICS | PERSISTENCE | DIFFUSION | ABSORPTION | MODEL | CELL | Boundary conditions | Random walk theory | Mapping | Brownian movements | Switches | Reaction kinetics
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2019, Volume 52, Issue 13, p. 134001
The first-passage problem of the Ornstein-Uhlenbeck process to a boundary is a long-standing problem with no known closed-form solution except in specific... 
first passage processes | survival probability | Fokker-Planck equation | PHYSICS, MULTIDISCIPLINARY | PRODUCT | 1ST PASSAGE TIME | INTEGRAL-REPRESENTATION | PHYSICS, MATHEMATICAL | MOMENTS
Journal Article
Scientific Reports, ISSN 2045-2322, 02/2016, Volume 6, Issue 1, p. 20349
The first passage is a generic concept for quantifying when a random quantity such as the position of a diffusing molecule or the value of a stock crosses a... 
GEOMETRY-CONTROLLED KINETICS | 1ST-PASSAGE TIMES | MULTIDISCIPLINARY SCIENCES | Queuing theory | Physics - Statistical Mechanics
Journal Article
Physical Review Letters, ISSN 0031-9007, 08/2012, Volume 109, Issue 8, p. 088701
The first passage time (FPT) for random walks is a key indicator of how fast information diffuses in a given system. Despite the role of FPT as a fundamental... 
PHYSICS, MULTIDISCIPLINARY | 1ST-PASSAGE TIMES | Physics - Statistical Mechanics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2015, Volume 91, Issue 5, p. 052132
In this work we consider a simple random walk embedded in a generic branched structure and we find a close-form formula to calculate the hitting time H (i, f)... 
ANOMALOUS DIFFUSION | TRANSPORT | COMB-LIKE MODELS | RANDOM-WALKS | DISORDERED MEDIA | PHYSICS, FLUIDS & PLASMAS | RESISTANCE | POROUS-MEDIA | 1ST-PASSAGE TIME | PHYSICS, MATHEMATICAL | SCATTERING | Models, Theoretical | Diffusion | Kinetics | Physics - Statistical Mechanics
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2010, Volume 105, Issue 15, p. 150606
We present an exact calculation of the mean first-passage time to a small target on the surface of a 2D or 3D spherical domain, for a molecule performing... 
ASYMPTOTIC ANALYSIS | PHYSICS, MULTIDISCIPLINARY | KINETICS | 1ST PASSAGE TIME | PART II | DOMAINS | NARROW ESCAPE | STRATEGIES | Physics - Statistical Mechanics
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 07/2017, Volume 50, Issue 33, p. 333001
We review recent advances on the record statistics of strongly correlated time series, whose entries denote the positions of a random walk or a Levy flight on... 
record statistics | strongly correlated time series | statistical physics | BREAKING RECORDS | BROWNIAN-MOTION | PERSISTENT EVENTS | PHYSICS, MULTIDISCIPLINARY | FLUCTUATION IDENTITIES | PHYSICS, MATHEMATICAL | ANOMALOUS DIFFUSION | DYNAMICS | 1ST-PASSAGE PROPERTIES | DOMAIN-WALL | WEATHER RECORDS | PROBABILITIES
Journal Article
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 06/2019, Volume 52, Issue 24, p. 244001
Extreme value functionals of stochastic processes are inverse functionals of the first passage time-a connection that renders their probability distribution... 
DENSITY | record statistics | PHYSICS, MULTIDISCIPLINARY | large deviation theory | MAXIMUM | Markov processes | eigenspectrum | 1ST-PASSAGE PROPERTIES | first passage time | Fokker-Planck equation | PHYSICS, MATHEMATICAL | extreme value theory
Journal Article
EPL, ISSN 0295-5075, 01/2017, Volume 117, Issue 1, pp. 10009 - 9
This paper discusses two deterministic quantities, mean first exit time and escape probability, for the anomalous processes having the tempered Levy stable... 
PHYSICS, MULTIDISCIPLINARY | RANDOM-WALKS | 1ST PASSAGE | EQUATIONS | DYNAMICS | DIFFUSION | DRIVEN | NOISES | Tempering | Partial differential equations | Stability
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 07/2018, Volume 149, Issue 2, p. 024903
The first return time (FRT) is the time it takes a random walker to first return to its original site, and the global first passage time (GFPT) is the first... 
1ST-PASSAGE TIMES | PROBABILITY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | DENDRIMERS | DIFFUSION | GEOMETRY | Networks | Gaskets | Mathematical analysis | Random walk | Fractals | Random variables | Flowers | Variance
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 09/2018, Volume 2018, Issue 9, p. 93205
The global first passage time (GFPT) is the first-passage time for a random walker from a randomly selected site to a given site. Here, we find the exact... 
network dynamics | diffusion | 1ST-PASSAGE TIMES | MECHANICS | PHYSICS, MATHEMATICAL | RANDOM-WALKS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2015, Volume 91, Issue 5, p. 052701
We consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process.... 
BROWNIAN-MOTION | VARIABILITY | DIFFUSION-PROCESSES | MODELS | 1ST PASSAGE | PHYSICS, FLUIDS & PLASMAS | IN-VIVO | NOISE | BOUNDARY | NEURAL SPIKING | PHYSICS, MATHEMATICAL | SPIKING ACTIVITY | Neurons - cytology | Models, Neurological | Stochastic Processes | Time Factors
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2015, Volume 48, Issue 1, pp. 13001 - 44
Journal Article
by Lu, LH and Li, YQ
CHINESE PHYSICS LETTERS, ISSN 0256-307X, 08/2019, Volume 36, Issue 8, p. 80305
In the traditional random-conformational-search model, various hypotheses with a series of meta-stable intermediate states were proposed to resolve the... 
PATHWAYS | 1ST-PASSAGE TIMES | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | KINETICS | STABILITY | SEQUENCE | DYNAMICS | PHYSICS | SIMULATION | SIMPLE THEORETICAL-MODEL
Journal Article