Search results for "lemma"
showing 10 items of 210 documents
Äärellisten Borel-mittojen Fourier-muunnoksista euklidisissa avaruuksissa
2016
Tutkielmassa esitellään euklidisen avaruuden äärellisille Borel-mitoille Fourier-muunnokset kompleksiarvoisina kuvauksina ja tutkitaan niiden vähenemistä mentäessä ääarettömän kauas origosta. Keskeisenä kysymyksenä on, millä reunaehdoilla annetun kompkatikantajaisen ja äärellisen Borel-mitan Fourier muunnos vähenee polynomiaalisesti (eli sitä voidaan dominoida jollain euklidisen normin negatiivisella potenssilla) kaikkialla riittävän kaukana tai ainakin ”keskimääräisesti”. Mikäli tällainen Borel-mitta on absoluuttisesti jatkuva Lebesguen mitan suhteen kompaktikantajaisella ja sileällä tiheysfunktiolla, niin sen Fourier-muunnos vähenee aina polynomiaalisesti kaikkialla. Ongelmaa tarkastellaa…
Fundamental isomorphism theorems for quantum groups
2017
The lattice of subgroups of a group is the subject of numerous results revolving around the central theme of decomposing the group into "chunks" (subquotients) that can then be compared to one another in various ways. Examples of results in this class would be the Noether isomorphism theorems, Zassenhaus' butterfly lemma, the Schreier refinement theorem for subnormal series of subgroups, the Dedekind modularity law, and last but not least the Jordan-H\"older theorem. We discuss analogues of the above-mentioned results in the context of locally compact quantum groups and linearly reductive quantum groups. The nature of the two cases is different: the former is operator algebraic and the latt…
Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space
2011
ABSTRACT A Henstock-Kurzweil type integral on a compact zero-dimensional metric space is investigated. It is compared with two Perron type integrals. It is also proved that it covers the Lebesgue integral.
Prisoner's dilemma in an RNA virus
1999
The evolution of competitive interactions among viruses1 was studied in the RNA phage φ6 at high and low multiplicities of infection (that is, at high and low ratios of infecting phage to host cells). At high multiplicities, many phage infect and reproduce in the same host cell, whereas at low multiplicities the viruses reproduce mainly as clones. An unexpected result of this study1 was that phage grown at high rates of co-infection increased in fitness initially, but then evolved lowered fitness. Here we show that the fitness of the high-multiplicity phage relative to their ancestors generates a pay-off matrix conforming to the prisoner's dilemma strategy of game theory2,3. In this strateg…
Healthy aging in the context of the Mediterranean diet–health-environment trilemma
2021
Abstract Successful aging results from a lifetime of interaction between a range of factors, including those that are inherited (age, genetics), and those related to lifestyle (diet, exercise). In this brief communication, we examine the role of the Mediterranean-style diet in human health. Diet is one of the major pillars of healthy aging, and accumulating evidence supports the health benefits of the Mediterranean diet. We also discuss the lifelong effect of exposure to environmental pollution. Thus, there is an intricate relationship between health, diet and environment, which together represent a trilemma that must be addressed with a holistic, life-course, population-level approach.
The Local versus Global Dilemma of the Effects of Structural Funds
2011
This paper extends the analysis by Dall'erba and Le Gallo dealing with the impact of structural funds on the growth process of European regions. Like most of the other 18 contributions assessing the efficiency of structural funds, our article was based on a global model of b-convergence: one coefficient pertaining to the structural funds variable was estimated for the whole sample. In this paper, we extend this approach by performing local estimations, where one coefficient is estimated for each region, so that the impact of structural funds can be regionally differentiated. As in the previous contribution, the presence of spatial spillover effects is taken into account using spatial econom…
International Fiscal-Financial Spillovers:the Effect of Fiscal Shocks on Cross-Border Bank Lending
2019
This paper sheds new light on the degree of international fiscal-financial spillovers by investigating the effect of domestic fiscal policies on cross-border bank lending. By estimating the dynamic response of U.S. cross-border bank lending towards the 45 recipient countries to exogenous domestic fiscal shocks (both measured by spending and revenue) between 1990Q1 and 2012Q4, we find that expansionary domestic fiscal shocks lead to a statistically significant increase in cross-border bank lending. The magnitude of the effect is also economically significant: the effect of 1 percent of GDP increase (decrease) in spending (revenue) is comparable to an exogenous decline in the federal funds ra…
The ABC of society: Perceived similarity in agency/socioeconomic success and conservative-progressive beliefs increases intergroup cooperation
2020
Abstract The dimensions that explain which societal groups cooperate more with which other groups remain unclear. We predicted that perceived similarity in agency/socioeconomic success and conservative-progressive beliefs increases cooperation across groups. Self-identified members (N = 583) of 30 society-representative U.S. groups (gays, Muslims, Blacks, upper class, women, Democrats, conservatives etc.) played an incentivized one-time continuous prisoner's dilemma game with one self-identified member of each of these groups. Players knew nothing of each other except one group membership. Consistent with the ABC (agency-beliefs-communion) model of spontaneous stereotypes, perceived self-gr…
On approximate system dynamic
1996
In this paper concepts and techniques from system theory are used to obtain state-space (Markovian ) models of dynamic economic processes instead of the usual VARMA models. In this respect the concept of state is reviewed as are Hankel norm approximations,and balanced realizations for stochastic models. We clarify some aspects of the balancing method for state space modelling of observed time series. This method may fail to satisfy the so-called positive real condition for stochastic processes. We us a state variance factorization algorithm which does not require us to solve the algebraic Riccati equation. We relate the Aoki-Havenner method to the Arun - Kung method.
Cohomology of Filippov algebras and an analogue of Whitehead's lemma
2009
We show that two cohomological properties of semisimple Lie algebras also hold for Filippov (n-Lie) algebras, namely, that semisimple n-Lie algebras do not admit non-trivial central extensions and that they are rigid i.e., cannot be deformed in Gerstenhaber sense. This result is the analogue of Whitehead's Lemma for Filippov algebras. A few comments about the n-Leibniz algebras case are made at the end.