scholarly journals On a coalescence process and its branching genealogy

2016 ◽  
Vol 53 (4) ◽  
pp. 1156-1165 ◽  
Author(s):  
Nicolas Grosjean ◽  
Thierry Huillet
Keyword(s):  
Special Interest ◽  
Filling Process ◽  
Coalescence Process ◽  
Coalescent Process ◽  
Special Cases ◽  
Watson Process ◽  
Reversed Time

Abstract We define and analyze a coalescent process as a recursive box-filling process whose genealogy is given by an ancestral time-reversed, time-inhomogeneous Bienyamé‒Galton‒Watson process. Special interest is on the expected size of a typical box and its probability of being empty. Special cases leading to exact asymptotic computations are investigated when the coalescing mechanisms are either linear fractional or quadratic.

Limit theorems for the simple branching process allowing immigration, I. The case of finite offspring mean

1979 ◽  
Vol 11 (1) ◽  
pp. 31-62 ◽  
Author(s):  
Anthony G. Pakes
Keyword(s):  
Limit Theorems ◽  
Branching Process ◽  
Transition Probabilities ◽  
Time Process ◽  
Slowly Varying Function ◽  
Continuous Time Process ◽  
Population Sizes ◽  
Rate Of Decay ◽  
Watson Process ◽  
Reversed Time

This paper presents limit theorems for the population sizes of a Bienaymé–Galton–Watson process allowing immigration. For the non-critical cases it is known that the limit distribution is non-defective iff a logarithmic moment of the immigration distribution is finite. The new results of this paper are concerned with the situation where this moment is infinite and give limit theorems for a certain slowly varying function of the population size. A parallel discussion is given for the critical case and also for the continuous-time process.The methods of the paper are used to give some results on the rate of decay of the transition probabilities and on the growth rate of the stationary measure. These in turn are used to obtain some limit theorems for a reversed-time process.

Aerodynamics of a Spinning Sphere

1928 ◽  
Vol 32 (213) ◽  
pp. 777-798 ◽  
Author(s):  
John W. Maccoll
Keyword(s):  
General Solution ◽  
Viscous Fluid ◽  
Mathematical Analysis ◽  
Special Interest ◽  
Equations Of Motion ◽  
Fluid Motion ◽  
Three Dimensional ◽  
Special Cases ◽  
The Right ◽  
Near Future

The full equations of motion for the flow of a viscous fluid have proved too complicated for any general solution to be obtained. It is to be doubted if, in. the near future, the problem of fluid motion will be solved in a general manner, although solutions for a few special cases may be found. In view of this it is of some value to investigate experimentally certain cases which are likely to prove of mathematical interest at a later date; this paper deals with such a problem. By means of the results obtained experimentally the mathematical analysis may be guided along the right lines and a satisfactory analytical solutioa of the problem be obtained.The instrument used in exploring the fluid motion has a special interest of its own as it may prove of use in further aerodynamical investigations where the flow is of three–dimensional character. The development of this instrument, and its performance when tested, are described in Part I.The experiments for the measurement of the forces on the spinning sphere are described in Part II.

scholarly journals The Laws of the Mercers Company of Lichfield

1893 ◽  
Vol 7 ◽  
pp. 109-125
Author(s):  
W. H Russell
Keyword(s):  
Seventeenth Century ◽  
Special Interest ◽  
East India Company ◽  
Charles I ◽  
Industrial Companies ◽  
Special Cases ◽  
The Subject

The Laws of the Mercers of Lichfield which have been transcribed by Mr. Russell and will, I trust, find a place in our next volume of Transactions, seem to me to have very special interest. They are typical of the ordinances which were made for industrial regulation in the seventeenth century. Throughout this century there was an extraordinary development of industrial and commercial companies, many of which were formed by statute and others by letters patent. The wisdom of granting such patents for commercial purposes was the subject of long-continued discussion—this centred round the action of the East India Company. But, if we except some special cases in the time of Charles I., there seems to have been comparatively little dispute about the industrial companies, and a great many were formed or were reconstituted during this period. Of these the Cutlers Company of Sheffield is the most celebrated.

Limit theorems for the simple branching process allowing immigration, I. The case of finite offspring mean

1979 ◽  
Vol 11 (01) ◽  
pp. 31-62 ◽  
Author(s):  
Anthony G. Pakes
Keyword(s):  
Limit Theorems ◽  
Branching Process ◽  
Transition Probabilities ◽  
Time Process ◽  
Slowly Varying Function ◽  
Continuous Time Process ◽  
Population Sizes ◽  
Rate Of Decay ◽  
Watson Process ◽  
Reversed Time

This paper presents limit theorems for the population sizes of a Bienaymé–Galton–Watson process allowing immigration. For the non-critical cases it is known that the limit distribution is non-defective iff a logarithmic moment of the immigration distribution is finite. The new results of this paper are concerned with the situation where this moment is infinite and give limit theorems for a certain slowly varying function of the population size. A parallel discussion is given for the critical case and also for the continuous-time process. The methods of the paper are used to give some results on the rate of decay of the transition probabilities and on the growth rate of the stationary measure. These in turn are used to obtain some limit theorems for a reversed-time process.

scholarly journals On the statistics of binary systems

1943 ◽  
Vol 181 (987) ◽  
pp. 411-415 ◽  
Keyword(s):  
Critical Points ◽  
Special Interest ◽  
Critical Region ◽  
Binary Systems ◽  
Statistical Properties ◽  
The Other ◽  
Correct Description ◽  
Approximate Evaluation ◽  
Special Cases ◽  
The One

1. In my paper (Fuchs 1942, in the following quoted as F), criticized in the preceding remarks of Wannier, I was mainly concerned with the statistical properties for varying concentrations. For this reason I omitted to consider some special types of critical points, which are obtained in exceptional cases. I hope I shall be pardoned for omitting to mention these exceptional cases, since they went rather beyond the scope of my paper, and at the time I had no reason to suppose that they were of special interest. However, in order to reconcile the results of Kramers & Wannier (1941, in the following quoted as KW) with my own, it is necessary to assume that one of these special cases represents the correct description of the critical region. 2. In comparing the results of the two theories a clear distinction must be made between facts which have been rigorously proved by the one theory or the other, and those which have only been obtained by approximate evaluation. I shall confine myself first to the former, since this is the only way of settling the points in question.

Relations Between French Plays and Ballets From 1581 to 1650

PMLA ◽  
1916 ◽  
Vol 31 (3) ◽  
pp. 379-394
Author(s):  
H. Carrington Lancaster
Keyword(s):  
Seventeenth Century ◽  
Special Interest ◽  
Proper Time ◽  
The Other ◽  
Recent Book ◽  
Full Treatment ◽  
Special Cases ◽  
Abundant Evidence ◽  
The Subject ◽  
First Time

As there is abundant evidence, reliable though anonymous, that scholarly circles are not without special interest just now in the ballet, it may be the proper time to consider that form of art in some of its historical relations to the theater. A recent book by Henry Prunières, le Ballet de cour en France avant Benserade et Lully, gives us for the first time a thorough treatment of the ballet during one of its great periods, the first half of the seventeenth century. It is only now, therefore, that the relations which then existed between the ballets and the plays of France can be adequately discussed. A full treatment of the subject would require and may attract the labors of a doctor's dissertation, but the general relationships can be established from material we already possess and special cases can be pointed out in which one genre borrowed directly and indisputably from the other.

Crystalloid Inclusions in Hepatocyte Mitochondria and Their Similarity to Cytoplasmic Crystalloids

1974 ◽  
Vol 32 ◽  
pp. 198-199
Author(s):  
Odell T. Minick ◽  
Hidejiro Yokoo
Keyword(s):  
Liver Disease ◽  
Alcoholic Liver Disease ◽  
Special Interest ◽  
Structural Variations ◽  
Mitochondrial Alterations ◽  
The Matrix ◽  
Crystalloid Inclusions ◽  
Liver Biopsies

Mitochondrial alterations were studied in 25 liver biopsies from patients with alcoholic liver disease. Of special interest were the morphologic resemblance of certain fine structural variations in mitochondria and crystalloid inclusions. Four types of alterations within mitochondria were found that seemed to relate to cytoplasmic crystalloids.Type 1 alteration consisted of localized groups of cristae, usually oriented in the long direction of the organelle (Fig. 1A). In this plane they appeared serrated at the periphery with blind endings in the matrix. Other sections revealed a system of equally-spaced diagonal lines lengthwise in the mitochondrion with cristae protruding from both ends (Fig. 1B). Profiles of this inclusion were not unlike tangential cuts of a crystalloid structure frequently seen in enlarged mitochondria described below.

Electron Beam Damage of Biomolecules Assessed by Energy Loss Spectroscopy

1978 ◽  
Vol 36 (3) ◽  
pp. 61-69
Author(s):  
M. Isaacson ◽  
M.L. Collins ◽  
M. Listvan
Keyword(s):  
Electron Microscopy ◽  
Radiation Damage ◽  
Structural Integrity ◽  
Analytical Electron Microscopy ◽  
High Dose ◽  
Dose Rates ◽  
Special Cases ◽  
Analytical Electron ◽  
Atom Migration ◽  
Beam Damage

Over the past five years it has become evident that radiation damage provides the fundamental limit to the study of blomolecular structure by electron microscopy. In some special cases structural determinations at very low doses can be achieved through superposition techniques to study periodic (Unwin & Henderson, 1975) and nonperiodic (Saxton & Frank, 1977) specimens. In addition, protection methods such as glucose embedding (Unwin & Henderson, 1975) and maintenance of specimen hydration at low temperatures (Taylor & Glaeser, 1976) have also shown promise. Despite these successes, the basic nature of radiation damage in the electron microscope is far from clear. In general we cannot predict exactly how different structures will behave during electron Irradiation at high dose rates. Moreover, with the rapid rise of analytical electron microscopy over the last few years, nvicroscopists are becoming concerned with questions of compositional as well as structural integrity. It is important to measure changes in elemental composition arising from atom migration in or loss from the specimen as a result of electron bombardment.

Decoration technique and surface physics

1978 ◽  
Vol 36 (1) ◽  
pp. 436-437 ◽  
Author(s):  
H. Bethge
Keyword(s):  
Diffusion Path ◽  
Special Importance ◽  
Surface Physics ◽  
Step Structure ◽  
Initial Stage ◽  
Special Cases ◽  
Atomic Surface ◽  
The Mean ◽  
Bulk Structure ◽  
Decoration Technique

Besides the atomic surface structure, diverging in special cases with respect to the bulk structure, the real structure of a surface Is determined by the step structure. Using the decoration technique /1/ it is possible to image step structures having step heights down to a single lattice plane distance electron-microscopically. For a number of problems the knowledge of the monatomic step structures is important, because numerous problems of surface physics are directly connected with processes taking place at these steps, e.g. crystal growth or evaporation, sorption and nucleatlon as initial stage of overgrowth of thin films.To demonstrate the decoration technique by means of evaporation of heavy metals Fig. 1 from our former investigations shows the monatomic step structure of an evaporated NaCI crystal. of special Importance Is the detection of the movement of steps during the growth or evaporation of a crystal. From the velocity of a step fundamental quantities for the molecular processes can be determined, e.g. the mean free diffusion path of molecules.

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