323,274 research outputs found
Some Fubini theorems on product sigma-algebras for non-additive measures
No full textWe give some Fubini's theorems (interversion of the order of integration and product capacities) in the framework of the Choquet integral for product sigma-algebras. Following Ghirardato this is performed by considering slice-comonotonic functions. Our results can be easily interpreted for belief functions, in the Dempster and Shafer setting.Choquet integral, product capacity.
Fubini polynomials and some properties
No full textBu tez altı bölümden olu¸smaktadır. Birinci bölüm giri¸s kısmına ayrılmıstir. İkinci bölümde önbilgiler ve diğer bölümlerde kullanılacak olan bazı tanımlar ve yardımcı teoremler verilmiştir. Üçüncü bölümde, Fubini polinomlarının türleri hakkında bilgi verilmiştir. Bu polinomların bazı özellikleri verilmiştir. Dördüncü bölümde genelleştirilmiş Fubini polinomları tanıtılmış, genelleştirilmiş Fubini polinomları için toplam formülleri, doğurucu fonksiyon bagıntıları elde edilmiştir. Ayrıca, bu polinomun multilineer ve multilateral doğurucu fonksiyonlarını veren teoremler elde edilmiştir. Bu teoremlerin uygulamalarına yer verilmiştir. Beşinci bölümde iki değişkenli yüksek mertebeden genelleştirilmiş Fubini polinomları tanıtıldı ve özelliklerine yer verildi. İki değişkenli yüksek mertebeden genelleştirilmiş Fubini polinomları için toplam formülü ve doğurucu fonksiyon bağıntısı elde edildi. Bu polinomun bilineer ve bilateral doğurucu fonksiyonlarını veren teoremler elde edildi ve bu teoremlerin uygulamalarına yer verilmiştir. Daha sonra bu polinomların bazı rekürans bagıntıları ve integral bağıntısı elde edilmiştir. Son bölümde sonuç ve önerilere yer verilmiştir.This thesis consists of six chapters. The first chapter is reserved for the introduction. In the second chapter, some definitions and lemmas that will be used in other chapters are given. In the third chapter, information about the types of Fubini polynomials is given. Some properties of these polynomials are given. In the fourth chapter, generalized Fubini polynomials are introduced, sum formulas and generating function relations for generalized Fubini polynomials are obtained. In addition, theorems giving the multilinear and multilateral generating functions of this polynomial are obtained. Applications of these theorems are given. In the fifth chapter, higher order generalized Fubini polynomials with two variables are introduced and their properties are given. The sum formula and the generative function relation for bivariate higher order Fubini polynomials were obtained. Theorems giving the bilinear and bilateral generating functions of this polynomial are obtained and the applications of these theorems are given. Then, some recurrence relations and integral relations of these polynomials are obtained. In the last section, conclusions and recommendations are given
Independent Random Matching
No full textRandom matching models with a continuum population are widely used in economics to study environments where agents interact in small coalitions. This paper provides foundations to such models. In particular, the paper establishes an existence result for random matchings that are universal in the sense that certain desirable properties are satisfied for any assignment of types to agents. The result applies to infinitely many types of agents, thus covering random matching models which are currently used in the literature without a foundation. Furthermore, the paper provides conditions guaranteeing uniqueness of random matching.Random matching; Involution; Independence; Continuum population; Fubini extension
Generating Functions for the Fubini Type Polynomials and Their Applications
No full textOne of the aims of this chapter is to give Fubini type numbers and polynomials discovered with the help of generating functions or defined by combinatorial methods and also their general properties with known methods or techniques that we have found. The second purpose of this chapter is to give formulas and relations that we have just found, besides the known ones, using generating functions and their functional equations. The third purpose of this chapter is to give the relations between Fubini-type numbers and polynomials and other special numbers and polynomials. The fourth of the purposes of this chapter will be to give tables with Fubini-type numbers and polynomials, as well as other special numbers and special polynomials. In addition, by using Wolfram Mathematica version 12.0, graphs of Fubini type polynomials and their generating functions, surface graphs and mathematical codes will be given. The fifth purpose of this chapter, some known applications in the theory of approximation with Fubini-type numbers and polynomials are summarized. The sixth of the purposes of this chapter is to give zeta-type functions that interpolate Fubini-type numbers and polynomials at negative integers. Moreover, throughout this chapter, we are tried diligently to present the results obtained in comparison with other known results and their reductions, taking into account the relevant sources. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG
New construction of type 2 degenerate central Fubini polynomials with their certain properties
No full textKim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version of the central Fubini polynomials. We show that these polynomials can be represented by the fermionic p-adic integral on Zp. From the fermionic p-adic integral equations, we derive some new properties related to degenerate central factorial numbers of the second kind and degenerate Euler numbers of the second kind. © 2020, The Author(s)
Mobilità e tempi
No full textIN: Bonfiglioli S., Mareggi M. (a cura di), Il tempo e la città fra natura e storia. Atlante di progetti sui tempi della città, in Urbanistica-Quaderni collana dell’INU, Supp. al n. 107 di Urbanistica, anno III, maggio 1997
Theory of high-energy scattering and multiple production
No full textIn questo lavoro si propone una teoria per lo studio delle interazioni forti di alta. energia. L‘idea di base è che i processi di alta energia sono riconducibili, attraverso un meccanismo periferico, a processi di bassa energia. Le proprietà asintotiche di questo modello vengono studiate per mezzo di un‘equazione integrale agli autovalori, il cui nuoleo è funzione delle ampiezze dei processi di bassa energia. Si mostra come molte predizioni generali possono essere derivate dalla struttura dell‘equazione integrale senza conoscere la soluzione esplicita di questa. I risultati riguardano tanto l‘urto elastico come la produzione multipla di alta energia. Per i processi inelastici noi otteniamo semplici predizioni generali per quel che riguarda la natura, la molteplicità, l‘inelasticità e lo spettro dei secondari. Per l‘urto elastico, noi troviamo il caratteristico comportamento del polo di Regge per le ampiezze. Questo ci permette di capire la relazione tra stati legati e diffrazione in un modello relativistico che contiene entrambi. Si discutono infine alcune correzioni al modello imposto dall‘unitarietà ; queste correzioni suggeriscono l‘esistenza di una continuità di poli di Regge, cioè di tagli nel piano del momento angolare complesso.In this paper we propose a theoretical model for high-energy interaction, the basic idea of which is that the high-energy processes are reducible to the low-energy ones, through a peripheral mechanism. The asymptotic properties of this model are studied by means of a linear omogeneous integral equation, whose kernel depends on the low-energy amplitudes. It is shown that many general predictions can be derived which are independent of the detailed form of the low-energy input. The results refer both to high-energy elastic scattering and multiple production. For the inelastic processes we obtain simple general predictions for measurable quantities such as multiplicities, inelasticity and spectra of secondaries. For the elastic scattering we find the characteristic Regge pole behaviour for all scattering amplitudes. The relation between the bound-state problem and diffraction can therefore be understood in a relativistic model which contains in itself both phenomena. We finally discuss the possible corrections of the model by using approximatively the unitarity condition and we find indications of the possible existence of continuous power distribution, or equivalently, of cuts in the complex angular-momentum variable
Katětov order, Fubini property and Hausdorff ultrafilters
No full textWe study the Fubini property of ideals on omega and prove that
the Solecki’s ideal S is critical for this property in the Katětov order.
We show that a well-known F_sigma-ideal is critical for Hausdorff ultrafilters
in the Katětov order and, by investigating the position of this ideal in
the Katětov order, we show some of the known properties of this class
of ultrafilters, including the Fubini property
On Large Games with a Bio-Social Typology
No full textWe present a comprehensive theory of large non-anonymous games in which agents have a name and a determinate social-type and/or biological trait to resolve the dissonance of a (matching-pennies type) game with an exact pure-strategy Nash equilibrium with finite agents, but without one when modeled on the Lebesgue unit interval. We (i) establish saturated player spaces as both necessary and sufficient for an existence result for Nash equilibrium in pure strategies, (ii) clarify the relationship between pure, mixed and behavioral strategies via the exact law of large numbers in a framework of Fubini extension, (iii) illustrate corresponding asymptotic results.
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