114 research outputs found

    The Markov–Krein Correspondence in Several Dimensions

    Full text link

    Land to the Working People: The Agrarian Question in the Political Programme of Old Believers

    Full text link
    The article was submitted on 26.11.2018.This article considers a number of provisions by some Old Believer concords regarding the agrarian question. The analysis is based on documents and acts from Old Believer organisations, congresses, and meetings, journalistic materials, and epistolary documents. The Old Believers suggested a solution to the land question that involved elements of the liberal (Kadet) programme. However, unlike the Kadets (who suggested in 1917 that the land be given to peasants in perpetuity), Old Believers (including peasants) insisted that the land given to peasants be treated as private property. A small number of Old Believer peasants acted according to the principles established by the Socialist Revolutionaries. However, the Old Believer solution to the agrarian question was characterised by a unique combination of features. To a large extent, this resulted from the peculiarities of the democratic and polemic structure of the Old Believer community. Old Believer peasants (who mostly had solid, functioning households) always trusted the representative bodies and forums in which they actively participated. Thus, formulated at their congresses and meetings, the peasants’ points of view were actively taken into account by Old Believer authorities and had a considerable influence on the resolutions of the congresses. However, the principle of unpredeterminedness (Rus. непредрешенчество), zealously followed in the political documents of the adherents of old rite, was a major point of disagreement. The position of the Old Believers on the most important political and economic issues was characterised by the pronounced Christian (even chiliastic) tone of their political projects, with its ‘demand for truth, justice, brotherhood, and love’.Статья содержит анализ положений старообрядцев различных согласий по аграрному вопросу с использованием историко-генетического, историко-сопоставительного и историко-типологического методов исторического исследования. Привлечены программные и актовые документы старообрядческих организаций, съездов и совещаний, публицистические материалы, а также их эпистолярное наследие. Старообрядчество в целом предлагало решить земельный вопрос в рамках концепции с элементами либеральной (кадетской) программы. Однако, в отличие от кадетов, предлагавших в 1917 г. передачу земли фонда в бессрочное пользование, старообрядцы (в том числе крестьяне) настаивали на частнособственническом характере крестьянских хозяйств, получивших землю. Небольшая часть крестьян-старообрядцев в отдельных регионах восприняли лозунги эсеров. Но в целом старообрядческая версия решения земельной проблемы имела уникальное сочетание черт. Это во многом объяснялось спецификой демократического и полемического устройства старообрядческого сообщества. Крестьяне-старообрядцы (в массе своей – крепкие хозяева) никогда не отказывали в доверии своим представительным организациям и форумам, в которых принимали активное участие. Сформулированные на съездах и собраниях самими крестьянами точки зрения на земельную проблему действительно учитывались политической верхушкой староверчества и оказывали значительное влияние на резолюции этих съездов. Важнейшие разногласия при этом вызывал принцип непредрешенчества, строго воспроизводившийся в политических документах ревнителей древнего благочестия различных согласий. Позиция старообрядцев по важнейшим политическим и эконо- мическим вопросам революционного времени отличалась тем, что большое значение они придавали христианской и даже хилиастической окраске своих политических проектов, основывавшихся на христианстве с его требованиями правды и справедливости, братства и любви

    Old Belief and Constitutional Meeting 1918: Ural in Comparison and with the Center and others Regions of Russia

    Full text link
    The article provides a description of the actions of the Old Believers during the elections to the Constituent Assembly. The reasons for their low political activity and the negative results of their work on electing their representatives to the assembly are analyzed. The reasons why he broad masses of peasants of the Old Believers voted for other parties are shown.В статье дается характеристика действий старообрядцев в период выборов в Учредительное собрание. Анализируются причины их малой политической активности и отрицательные результаты их работы по избранию своих представителей в собрание. Показаны причины, почему широкие массы крестьян-старообрядцев проголосовали за другие партии

    On a conjecture of Widom

    Get PDF
    We prove a conjecture of H.Widom stated in [W] (math/0108008) about the reality of eigenvalues of certain infinite matrices arising in asymptotic analysis of large Toeplitz determinants. As a byproduct we obtain a new proof of A.Okounkov's formula for the (determinantal) correlation functions of the Schur measures on partitions.Comment: 9 page

    A Study of Anyon Statistics by Breit Hamiltonian Formalism

    Get PDF
    We study the anyon statistics of a 2+12 + 1 dimensional Maxwell-Chern-Simons (MCS) gauge theory by using a systemmetic metheod, the Breit Hamiltonian formalism.Comment: 25 pages, LATE

    Bethe ansatz at q=0 and periodic box-ball systems

    Full text link
    A class of periodic soliton cellular automata is introduced associated with crystals of non-exceptional quantum affine algebras. Based on the Bethe ansatz at q=0, we propose explicit formulas for the dynamical period and the size of certain orbits under the time evolution in A^{(1)}_n case.Comment: 12 pages, Introduction expanded, Summary added and minor modifications mad

    Creation of ballot sequences in a periodic cellular automaton

    Full text link
    Motivated by an attempt to develop a method for solving initial value problems in a class of one dimensional periodic cellular automata (CA) associated with crystal bases and soliton equations, we consider a generalization of a simple proposition in elementary mathematics. The original proposition says that any sequence of letters 1 and 2, having no less 1's than 2's, can be changed into a ballot sequence via cyclic shifts only. We generalize it to treat sequences of cells of common capacity s > 1, each of them containing consecutive 2's (left) and 1's (right), and show that these sequences can be changed into a ballot sequence via two manipulations, cyclic and "quasi-cyclic" shifts. The latter is a new CA rule and we find that various kink-like structures are traveling along the system like particles under the time evolution of this rule.Comment: 31 pages. Section 1 changed and section 5 adde

    Crystal Interpretation of Kerov-Kirillov-Reshetikhin Bijection II. Proof for sl_n Case

    Full text link
    In proving the Fermionic formulae, combinatorial bijection called the Kerov--Kirillov--Reshetikhin (KKR) bijection plays the central role. It is a bijection between the set of highest paths and the set of rigged configurations. In this paper, we give a proof of crystal theoretic reformulation of the KKR bijection. It is the main claim of Part I (math.QA/0601630) written by A. Kuniba, M. Okado, T. Takagi, Y. Yamada, and the author. The proof is given by introducing a structure of affine combinatorial RR matrices on rigged configurations.Comment: 45 pages, version for publication. Introduction revised, more explanations added to the main tex

    Form factor approach to dynamical correlation functions in critical models

    Full text link
    We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time asymptotic behavior of various two-point functions of this model. We also compute edge exponents and amplitudes characterizing the power-law behavior of dynamical response functions on the particle/hole excitation thresholds. These last results confirm predictions based on the non-linear Luttinger liquid method. Our results rely on a first principles derivation, based on the microscopic analysis of the model, without invoking, at any stage, some correspondence with a continuous field theory. Furthermore, our approach only makes use of certain general properties of the model, so that it should be applicable, with possibly minor modifications, to a wide class of (not necessarily integrable) gapless one dimensional Hamiltonians.Comment: 33 page
    corecore