%0 Journal Article %1 dornic2000 %A Dornic, Ivan %A Lemaitre, Anael %A Baldassarri, Andrea %A Chaté, Hugues %D 2000 %J J. Phys. A: Math. Gen. %K myown 2000 persistence %P 7499-7513 %T Analytical results for generalized persistence properties of smooth processes %V 33 %X We present a general scheme to calculate within the independent interval approximation generalized (level-dependent) persistence properties for processes having a finite density of zero crossings. Our results are especially relevant for the diffusion equation evolving from random initial conditions - one of the simplest coarsening systems. Exact results are obtained in certain limits, and rely on a new method to deal with constrained multiplicative processes. An excellent agreement of our analytical predictions with direct numerical simulations of the diffusion equation is found.

@article{dornic2000, abstract = {We present a general scheme to calculate within the independent interval approximation generalized (level-dependent) persistence properties for processes having a finite density of zero crossings. Our results are especially relevant for the diffusion equation evolving from random initial conditions - one of the simplest coarsening systems. Exact results are obtained in certain limits, and rely on a new method to deal with constrained multiplicative processes. An excellent agreement of our analytical predictions with direct numerical simulations of the diffusion equation is found. }, added-at = {2006-10-17T18:58:16.000+0200}, author = {Dornic, Ivan and Lemaitre, Anael and Baldassarri, Andrea and Chaté, Hugues}, biburl = {https://www.bibsonomy.org/bibtex/2edc728a8b02f8690f5f1b15736f4c6e3/andreab}, interhash = {2811fcb585446c9b9b86006a53d41081}, intrahash = {edc728a8b02f8690f5f1b15736f4c6e3}, journal = {J. Phys. A: Math. Gen.}, keywords = {myown 2000 persistence}, pages = {7499-7513}, timestamp = {2006-10-17T18:58:16.000+0200}, title = {Analytical results for generalized persistence properties of smooth processes}, volume = 33, year = 2000 }