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With the largest dish Five-hundred-meter Aperture Spherical radio Telescope (FAST), both the mean and single pulses of PSR B2016$+$28, especially including the single-pulse structure, are investigated in detail in this study. The mean pulse…

High Energy Astrophysical Phenomena · Physics 2019-03-18 Jiguang Lu , Bo Peng , Renxin Xu , Meng Yu , Shi Dai , Weiwei Zhu , Ye-Zhao Yu , Peng Jiang , Youling Yue , Lin Wang , FAST Collaboration

In this paper we prove, for small Hurst parameters, the higher order differentiability of a stochastic flow associated with a stochastic differential equation driven by an additive multi-dimensional fractional Brownian noise, where the…

Probability · Mathematics 2018-05-15 Oussama Amine , David R. Baños , Frank Proske

We consider a planar Brownian loop $B$ that is run for a time $T$ and conditioned on the event that its range encloses the unusually high area of $\pi T^2$, with $T$ being large. We study the deviation of the range of the conditioned…

Probability · Mathematics 2007-05-23 Alan Hammond , Yuval Peres

We introduce a method for performing a robust Bayesian analysis of non-Gaussianity present in pulsar timing data, simultaneously with the pulsar timing model, and additional stochastic parameters such as those describing red spin noise and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-19 Lindley Lentati , Michael P. Hobson , Paul Alexander

We establish bounds on expected values of various geometric quantities that describe the size of the convex hull spanned by a path of the standard planar Brownian motion. Expected values of the perimeter and the area of the Brownian convex…

Probability · Mathematics 2024-10-14 Wojciech Cygan , Hugo Panzo , Stjepan Šebek

We theoretically investigate the influence of designed pulse sequences in restoring quantum coherence lost due to background noise in superconducting qubits. We consider both 1/f noise and Random Telegraph Noise, and show that the qubit…

Mesoscale and Nanoscale Physics · Physics 2008-06-19 L. Cywinski , R. M. Lutchyn , C. P. Nave , S. Das Sarma

We investigate circular polarization in pulsar radio emission through simultaneous observations of PSR B1133+16 at two frequencies. In particular, we investigate the association of the handedness of circular polarization with the orthogonal…

Astrophysics · Physics 2009-11-07 A. Karastergiou , S. Johnston , M. Kramer

Fractional Brownian motion is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study numerically fractional Brownian motion confined to a finite…

Statistical Mechanics · Physics 2019-03-22 T. Guggenberger , G. Pagnini , T. Vojta , R. Metzler

The population of radio pulsars is observed to demonstrate certain polarization properties not explained by the conventional picture of pulsar polarization, namely frequency evolution of polarization, deviations of the linear polarization…

High Energy Astrophysical Phenomena · Physics 2023-08-02 Lucy Oswald , Aris Karastergiou , Simon Johnston

The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale techniques are used to derive general formulae for the steady…

Statistical Mechanics · Physics 2007-05-23 G. A. Pavliotis

In this paper we study periodical stochastic processes, and we define the conditions that are needed by a model to be a good noise model on the circumference. The classes of processes that fit the required conditions are studied together…

Probability · Mathematics 2018-01-09 Giacomo Aletti , Matteo Ruffini

We theoretically and numerically study the effects of thermal noise on pulses in backwards Stimulated Brillouin Scattering (SBS). Using a combination of stochastic calculus and numerical methods, we derive a theoretical model that can be…

Measurements of average pulse profiles made with a single linear polarization over the range 41-112 MHz are presented for PSR B0950+08. We show that the observed variable structure of the pulse profiles is a result of Faraday sinusoidal…

Astrophysics · Physics 2009-11-10 T. V. Shabanova , Yu. P. Shitov

In this Letter, we employ the complex screen method to investigate the dynamic evolution of partially coherent pulses with specified properties as they propagate through a nonlinear Kerr medium. Our results reveal that partially coherent…

A stochastic model for a super-position of uncorrelated pulses with a random distribution of and correlations between amplitudes and velocities is analyzed. The pulses are assumed to move radially with fixed shape and amplitudes decreasing…

Plasma Physics · Physics 2024-12-09 O. Paikina , J. M. Losada , A. Theodorsen , O. E. Garcia

Bose systems, subject to the action of external random potentials, are considered. For describing the system properties, under the action of spatially random potentials of arbitrary strength, the stochastic mean-field approximation is…

Disordered Systems and Neural Networks · Physics 2015-05-13 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

Pulse formation in passively mode locked lasers is often accompanied with dispersive waves that form of spectral sidebands due to spatial inhomogoneities in the laser cavity. Here we present an explicit calculation of the amplitude,…

We study space-time fluctuations around a characteristic line for a one-dimensional interacting system known as the random average process. The state of this system is a real-valued function on the integers. New values of the function are…

Probability · Mathematics 2007-09-12 Marton Balazs , Firas Rassoul-Agha , Timo Seppalainen

The interplay between the critical fluctuations and the sample geometry is investigated numerically using thin random-field ferromagnets exhibiting the field-driven magnetisation reversal on the hysteresis loop. The system is studied along…

Disordered Systems and Neural Networks · Physics 2018-10-17 Bosiljka Tadic , Svetislav Mijatovic , Sanja Janicevic , Djordje Spasojevic , Geoff J. Rodgers

We investigate the polarization state dynamics of single photon pulse for optical fiber quantum communication channels. On the basis of a birefringence vector model in which amplitude and direction are both stochastic variables, Jones…

Quantum Physics · Physics 2009-09-01 Chang-hua Zhu , Chang-xing Pei , Dong-xiao Quan , Nan Chen , Yun-hui Yi