By Sidney Redner
"...original and refreshing..." magazine of Mathematical Pyschology"This is the 1st ebook totally dedicated to first-passage processes... good designed and typeset, [it] is written in an easy-to-read sort with a beneficiant collection of in actual fact drawn graphs. The e-book is especially important for somebody operating within the sector of stochastic processes." Mathematical Reviews"...clearly written...the agency and presentation of the fabric are excellent...a worthwhile repository of ordinary and not-so-standard innovations which a person operating within the zone of stochastic methods ordinarily, and first-passage difficulties particularly, probably want to have on their shelves." --Alan Bray, magazine of Statistical Physics"Unquestionably a useful booklet, written at an available point for graduate scholars whereas delivering a pleasant precis of the final century's--and particularly the final decades'--developments of those equipment. It fills a gap within the literature that is wanted filling for a minimum of ten years. furthermore, the author's type is cozy and crystal transparent whereas holding mathematical precision and power." --Charles Doering, collage of Michigan"to practitioners within the box of first- passage difficulties, and to scholars coming into the field...I can suggest it strongly. it really is truly written, and the supplier and presentation of the fabric are very good. It serves as an invaluable repository of normal and not-so-standard options which somebody operating within the sector of stochastic procedure typically, and first-passage difficulties particularly, should want to have on their shelves." Alan J. Bray, Dept of Physics and Astronomy, collage of Manchester, UK"Redner's technique is usually remarkably transparent and it is usually aimed to strengthen intuition....The ebook is explicitly meant for permitting people with a modest heritage to profit crucial effects speedy. This objective intrinsically locations it at the border among the class of textbooks and that of reference books. The author's kind, colloquial and concise, but distinctive, is definately acceptable for the purpose." Paolo Laureti, Econophysics"The booklet is particularly good written and offers transparent causes of the strategies used to figure out first passage possibilities and similar amounts, less than quite a few circumstances...this e-book [is] hugely suggested to somebody drawn to its topic, either for its readability of presentation and for the wide variety of difficulties treated." J.R. Dorfman, American magazine of Physics First-passage homes underlie a variety of stochastic procedures, equivalent to diffusion-limited progress, neuron firing, and the triggering of inventory suggestions. This booklet presents a unified presentation of first-passage tactics, which highlights its interrelations with electrostatics and the ensuing robust effects. the writer starts with a latest presentation of primary conception together with the relationship among the career and first-passage chances of a random stroll, and the relationship to electrostatics and present flows in resistor networks. the implications of this thought are then constructed for easy, illustrative geometries together with the finite and semi-infinite durations, fractal networks, round geometries and the wedge. a variety of functions are awarded together with neuron dynamics, self-organized criticality, diffusion-limited aggregation, the dynamics of spin structures, and the kinetics of diffusion-controlled reactions. Examples mentioned comprise neuron dynamics, self-organized criticality, kinetics of spin structures, and stochastic resonance.
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Extra info for A guide to first-passage processes
As a result, a cross-sectional view of the structure similar to a histology section is obtained. OCT can be used for retinal imaging and anterior segment imaging. The OCT for ophthalmic examination is similar to a slit lamp for anterior segment imaging and a fundus camera for retinal imaging. The instrumentation includes a video display for operator viewing of the anterior segment or fundus while obtaining the OCT images and a simultaneous computer display of the tomograms. Images are stored via computer for the diagnostic record (Puliafito, 1996).
Optical coherence tomography background The clinical potential of OCT technology in ophthalmology was originally recognized in the early 1990s. , 1996). This imaging technique generates a cross-sectional image by recording axial reflectance profiles while the transverse position of the optical beam on the sample is scanned. Thus, the longitudinal location of tissue structures are determined by measuring the time-of-flight delays of light backscattered from these structures. The optical delays are measured by low coherence interferometry.
Another limitation of OCT technology has been the difficulty in accurately localizing the cross-sectional images and correlating them with a conventional en face view of the fundus. One way to localize and visually interpret the images would be to integrate a scanning laser ophthalmoscope (SLO) into the OCT, thereby mapping OCT pixels to the conventional en face view of the SLO. , 2004). The system simultaneously produces SLO and OCT images that are created through the same optical path, and therefore correspond pixel to pixel.
A guide to first-passage processes by Sidney Redner