5,455 research outputs found
First-passage time of run-and-tumble particles with noninstantaneous resetting
No full textWe study the statistics of the first-passage time of a single
run-and-tumble particle (RTP) in one spatial dimension, with or without
resetting, to a fixed target located at L > 0. First, we compute the
first-passage time distribution of a free RTP, without resetting or in a
confining potential, but averaged over the initial position drawn from
an arbitrary distribution p(x). Recent experiments used a
noninstantaneous resetting protocol that motivated us to study in
particular the case where p(x) corresponds to the stationary
non-Boltzmann distribution of an RTP in the presence of a harmonic trap.
This distribution p(x) is characterized by a parameter v > 0, which
depends on the microscopic parameters of the RTP dynamics. We show that
the first-passage time distribution of the free RTP, drawn from this
initial distribution, develops interesting singular behaviors, depending
on the value of v. We then switch on resetting, mimicked by relaxation
of the RTP in the presence of a harmonic trap. Resetting leads to a
finite mean first-passage time and we study this as a function of the
resetting rate for different values of the parameters v and b = L/c,
where c is the position of the right edge of the initial distribution
p(x). In the diffusive limit of the RTP dynamics, we find a rich phase
diagram in the (b, v) plane, with an interesting reentrance phase
transition. Away from the diffusive limit, qualitatively similar rich
behaviors emerge for the full RTP dynamics
The Rhetoric of Landscape in Gregory of Nyssa’s Homilies on the Song of Songs
No full textThis is the author accepted manuscript. The final version is available from Brill via the ISBN in this recordAnalytical and Supporting Studies. Proceedings of the 13th International Colloquium on Gregory of Nyssa (Rome, 17-20 September 2014)Series:
Vigiliae Christianae, Supplements, Volume: 150In this paper I want to take you on a walk through a garden. It is, to be sure, an imaginary garden; nevertheless, it bears a significance which extends beyond itself. Some of this significance concerns words and texts: for as we shall see, the garden is, amongst other things, a ‘garden of rhetoric’. The garden in question appears in the Gregory of Nyssa’s Homilies on the Song of Songs.[...
An Evening with Richard Claxton “Dick” Gregory, Civil Rights Activist, Nutritionist, Comedian, and Author
No full textGregory, Richard Claxton “Dick” (Born, October 12, 1932, St. Louis, Mo.), African American comedian and civil rights activist whose social satire changed the way white Americans perceived African American comedians since he first performed in public. Gregory’s autobiography, Nigger, was published in 1963 prior to The assassination of President Kennedy, and became the number one best-selling book in America. Over the decades it has sold in excess of seven million copies. His choice for the title was explained in the forward, where Dick Gregory wrote a note to his mother. “Whenever you hear the word ‘Nigger’,” he said, “you’ll know their advertising my book.” In 1984 he founded Health Enterprises, Inc., a company that distributed weight loss products. In 1987 Gregory introduced the Slim-Safe Bahamian Diet, a powdered diet mix, which was immensely profitable. Economic losses caused in part by conflicts with his business partners led to his eviction from his home in 1992. Gregory remained active, however, and in 1996 returned to the stage in his critically acclaimed one-man show, Dick Gregory Live! The reviews of Gregory’s show compared him to the greatest stand-ups in the history of Broadway
“Judge Me Gently”: Reflections on the Religious Life of John Milton Gregory, 1822–1898
No full text John Milton Gregory is familiar to many Christian educators through his 19th-century publication, The Seven Laws of Teaching. For most readers of this important book, little is known about the author himself. This article explores the religious life and theological foundations of John Milton Gregory, who was both author of The Seven Laws of Teaching and founding president of the University of Illinois. Utilizing his spiritual diaries preserved in his daughter's biography of her father and archival sources from the University of Illinois, this essay offers a theological and spiritual understanding of this important historical figure. </jats:p
On the joint distribution of the maximum and its position of the Airy2 process minus a parabola
No full text15 pages, no figure, minor revisionInternational audienceThe maximal point of the Airy2 process minus a parabola is believed to describe the scaling limit of the end-point of the directed polymer in a random medium, which was proved to be true for a few specific cases. Recently two different formulas for the joint distribution of the location and the height of this maximal point were obtained, one by Moreno Flores, Quastel and Remenik, and the other by Schehr. The first formula is given in terms of the Airy function and an associated operator, and the second formula is expressed in terms of the Lax pair equations of the Painleve II equation. We give a direct proof that these two formulas are the same
David Gregory
No full textPhotograph - David Gregory, member of the Book Sub-Committee, part of the Town of Athabasca 75th Anniversary Committee, Athabasca, Alberta. The Book Sub Committee produced the book "Athabasca Landing: An Illustrated History
Branching Brownian Motion Conditioned on Particle Numbers
No full text19 pages, 5 figuresInternational audienceWe study analytically the order and gap statistics of particles at time for the one dimensional branching Brownian motion, conditioned to have a fixed number of particles at . The dynamics of the process proceeds in continuous time where at each time step, every particle in the system either diffuses (with diffusion constant ), dies (with rate ) or splits into two independent particles (with rate ). We derive exact results for the probability distribution function of , the distance between successive particles, conditioned on the event that there are exactly particles in the system at a given time . We show that at large times these conditional distributions become stationary . We show that they are characterised by an exponential tail for large gaps in the subcritical () phases, and a power law tail at the critical point (), independently of and . Some of these results for the critical case were announced in a recent letter [K. Ramola, S. N. Majumdar and G. Schehr, Phys. Rev. Lett. 112, 210602 (2014)]
Dynamic crossover in the global persistence at criticality
No full textWe investigate the global persistence properties of critical systems relaxing from an initial state with non-vanishing value of the order parameter (e.g., the magnetization in the Ising model). The persistence probability of the global order parameter displays two consecutive regimes in which it decays algebraically in time with two distinct universal exponents. The associated crossover is controlled by the initial value m(0) of the order parameter and the typical time at which it occurs diverges as m(0) vanishes. Monte Carlo simulations of the two-dimensional Ising model with Glauber dynamics display clearly this crossover. The measured exponent of the ultimate algebraic decay is in rather good agreement with our theoretical predictions for the Ising universality class
Improved Balloon
No full textLetter to the editor by J. Gregory describing his improved gas balloon, with an accompanying labeled mechanical illustration.For more information about this item, visit https://archivesspace.mit.edu/repositories/2/digital_objects/71
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