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Physical Biology, ISSN 1478-3967, 09/2018, Volume 15, Issue 6, p. 066009
Motile biological cells in tissue often display the phenomenon of durotaxis, i.e. they tend to move towards stiffer parts of substrate tissue. The mechanism... 
cell motility | durotaxis | persistent random walkers | MIGRATION | CELLS | BIOPHYSICS | SUBSTRATE | BIOCHEMISTRY & MOLECULAR BIOLOGY | RIGIDITY | MOVEMENT | DEPENDS | STIFFNESS GRADIENT STRENGTH
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2016, Volume 339, Issue 8, pp. 2113 - 2126
We consider biased (1:b) Walker–Breaker games: Walker and Breaker alternately claim edges of the complete graph Kn, Walker taking one edge and Breaker claiming... 
Walker–Breaker | Threshold bias | Positional games | Cycle game | Walker-Breaker | MATHEMATICS | RANDOM GRAPHS | BIASED POSITIONAL GAMES | STRATEGIES | Constants | Graphs | Graph theory | Mathematical analysis | Claiming | Games | Mathematics - Combinatorics
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2015, Volume 29, Issue 3, pp. 1476 - 1485
We introduce and analyze the Walker-Breaker game, a variant of Maker-Breaker games where Maker is constrained to choose edges of a walk or path in a given... 
Maker-Breaker games | Box game | Random walk | box game | random walk | MATHEMATICS, APPLIED
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 3/2019, Volume 58, Issue 3, pp. 700 - 712
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 02/2012, Volume 85, Issue 2
We consider two independent quantum walks on separate lines augmented by partial or full swapping of coins after each step. For classical random walks,... 
PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | Analogs | Correlation | Correlation analysis | Coins | Random walk | Disturbances | Physics - Quantum Physics
Journal Article
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 07/2019, Volume 123, Issue 2, p. 020201
We revisit a family of integrals that delude intuition and that recently appeared in mathematical literature in connection with computer algebra package... 
PHYSICS, MULTIDISCIPLINARY | SINC | Random walk theory | Program verification (computers) | Integrals | Computer algebra | Random walk | Physics
Journal Article
Journal of the Royal Society Interface, ISSN 1742-5689, 2015, Volume 12, Issue 102, pp. 20140884 - 20140884
Zebrafish are gaining momentum as a laboratory animal species for the investigation of several functional and dysfunctional biological processes. Mathematical... 
Locomotion | Zebrafish | Jump process | Modelling | Behaviour | Stochastic process | DANIO-RERIO | jump process | HUMAN-DISEASE | ANXIETY | MULTIDISCIPLINARY SCIENCES | locomotion | stochastic process | MECHANISMS | CORRELATED RANDOM-WALK | modelling | BEHAVIORAL-RESPONSES | FISH | MOVEMENT | DYNAMICS | behaviour | zebrafish | ITO PROCESSES | Behavior, Animal | Algorithms | Animals | Stochastic Processes | Zebrafish - physiology | Swimming | Models, Statistical | 1004
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 07/2019, Volume 526, p. 121117
We present continuum models that describe the evolution of the position of a random walker on a growing network using four different growth algorithms. Three... 
Master-equation | Random-walk | Network growth | Closure-methods | LOCAL SPATIAL STRUCTURE | PHYSICS, MULTIDISCIPLINARY
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 10/2019, Volume 532, p. 121875
Random walks on discrete lattices are fundamental models that form the basis for our understanding of transport and diffusion processes. For a single random... 
Complex Networks | Random walk | NUMBER | PHYSICS, MULTIDISCIPLINARY
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 07/2018, Volume 501, pp. 126 - 133
In this paper, by considering a biased random walker hopping on a one-dimensional lattice with a ring geometry, we investigate the fluctuations of the speed of... 
Gallavotti–Cohen symmetry | Driven dynamics | Probability distribution | Plane wave method | Random walk | Large deviations theory | STATISTICAL-MECHANICS | STEADY-STATES | PHYSICS, MULTIDISCIPLINARY | ENSEMBLES | Gallavotti-Cohen symmetry
Journal Article
The Annals of Statistics, ISSN 0090-5364, 2/2012, Volume 40, Issue 1, pp. 494 - 528
Journal Article
Knowledge and Information Systems, ISSN 0219-1377, 9/2019, Volume 60, Issue 3, pp. 1663 - 1691
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2015, Volume 48, Issue 20, pp. 205004 - 21
We study the linear large-n behaviour of the average number of distinct sites S (n) visited by a random walker after n steps on a large random graph. An... 
random networks | random walk | message-passing | COLLECTIVE DYNAMICS | PHYSICS, MULTIDISCIPLINARY | 2ND EIGENVALUE | MATRICES | NETWORKS | LATTICES | PHYSICS, MATHEMATICAL | Graphs | Mathematical models | Computer simulation | Message passing | Mathematical analysis | Random walk | Physics
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