The spectral dimension of random trees

We present a simple yet rigorous approach to the determination of the spectral dimension of random trees, based on the study of the massless limit of the Gaussian model on such trees. As a byproduct, we obtain evidence in favor of a new scaling hypothesis for the Gaussian model on generic bounded graphs and in favor of a previously conjectured exact relation between spectral and connectivity dimensions on more general tree-like structures.Comment: 14 pages, 2 eps figures, revtex4. Revised version: changes in section I

The Effectiveness of Accounting E-module Integrated with Character Value to Improve Students' Learning Outcomes and Honesty

This study aimed to examine the effectiveness of e-accounting module integrated character values to improve students' learning outcomes and honesty. This was motivated by lack of students' understanding of accounting materials so that students tended to take dishonest actions like cheating while doing assignments or examinations. Honesty is one of the characters developed in many curriculla, so that honest character needs to be integrated in learning activities. The data collected in this study were the data on students' learning outcomes collected through multiple choice tests and the data on students' honesty collected through questionnaires. Students' learning outcomes data were analyzed through independent sample t test and the data on students' honesty were analyzed descriptively by narrative. The t test results obtained sig values 0.014 < 0.05 so that there were significant differences between the learning outcomes of the experimental class and the control class. The results of the questionnaire analysis showed that the students' honesty level of the experimental class was in a very good category and the control class was in the good category

The statistical geometry of scale-free random trees

The properties of scale-free random trees are investigated using both preconditioning on non-extinction and fixed size averages, in order to study the thermodynamic limit. The scaling form of volume probability is found, the connectivity dimensions are determined and compared with other exponents which describe the growth. The (local) spectral dimension is also determined, through the study of the massless limit of the Gaussian model on such trees.Comment: 21 pages, 2 figures, revtex4, minor changes (published version

On the Beta Function for Anisotropic Current Interactions in 2D

By making use of current-algebra Ward identities we study renormalization of general anisotropic current-current interactions in 2D. We obtain a set of algebraic conditions that ensure the renormalizability of the theory to all orders. In a certain minimal prescription we compute the beta function to all orders.Comment: 7 pages, 6 figures. v2: References added and typos corrected; v3: cancellation of finite parts more accurately state

Spectral partitions on infinite graphs

Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of geometrical origin and may be properly described in terms of spectral partitions into subgraphs with well defined spectral dimensions and spectral weights. These subgraphs are shown to be thermodynamically homogeneous and effectively decoupled.Comment: 8 pages, to appear on Journal of Physics

Boundary energy and boundary states in integrable quantum field theories

We study the ground state energy of integrable $1+1$ quantum field theories with boundaries (the genuine Casimir effect). In the scalar case, this is done by introducing a new, ``R-channel TBA'', where the boundary is represented by a boundary state, and the thermodynamics involves evaluating scalar products of boundary states with all the states of the theory. In the non-scalar, sine-Gordon case, this is done by generalizing the method of Destri and De Vega. The two approaches are compared. Miscellaneous other results are obtained, in particular formulas for the overall normalization and scalar products of boundary states, exact partition functions for the critical Ising model in a boundary magnetic field, and also results for the energy, excited states and boundary S-matrix of $O(n)$ and minimal models.Comment: 3 figures in the separate compressed file, 42 page

Analisis Kepuasan Peserta Sertifikasi K3 Terhadap Pelayanan LSP “PPT Migas” Di Pusdiklat Migas Dengan Integrasi IPA-Kano

Tenaga kerja migas memiliki tingkat resiko kerja tinggi, sehingga wajib memiliki sertifikat kompetensi tenaga teknis khusus migas, salah satunya adalah bidang K3. Badan yang bertugas memberikan layanan sertifikasi di antaranya adalah LSP “PPT Migas” di Pusdiklat Migas. Sebagai pelayanan SDM di bidang migas, tentunya LSP “PPT Migas” di Pusdiklat Migas perlu menadapatkan perhatian lebih terutama berkaitan dengan kualitas pelayanannya. Sehingga pada penelitian ini akan dibahas mengenai kepuasan peserta sertifikasi K3 terhadap pelayanan LSP “PPT Migas” di Pusdiklat Migas, yang dianalisis menggunakan integrasi IPA-Kano. Pendekatan ini bertujuan untuk membantu pihak LSP “PPT Migas” di Pusdiklat Migas dalam mengevaluasi kepuasan peserta sertifikasi K3, yaitu dnegan mengidentifikasi atribut layanan apa yang perlu mendapat prioritas untuk diting-katkan. Selanjutnya dari model ini, dapat diidentifikasi rekomendasi perbaikan yang dapat dilakukan LSP “PPT Migas” di Pusdiklat Migas. Pada penelitian ini, data yang digunakan adalah data primer, yang diperoleh melalui survei kepu-asan terhadap peserta sertifikasi terhadap pelayanan LSP “PPT Migas” yang dilaksanakan pada 22-24 Maret dan 05-07 April 2016. Tingkat kepuasan peserta sertifikasi K3 secara menyeluruh terhadap kinerja LSP “PPT Migas” di Pusdiklat Migas sebesar 76,21%. Dari 24 atribut kualitas pelayanan yang diukur, atribut yang mendapatkan prioritas pertama untuk diperbaiki adalah kebersihan ruang ujian dan toilet

Affine Toda field theory from tree unitarity

Elasticity property (i.e. no-particle creation) is used in the tree level scattering of scalar particles in 1+1 dimensions to construct the affine Toda field theory(ATFT) associated with root systems of groups $a_2^{(2)}$ and $c_2^{(1)}$. A general prescription is given for constructing ATFT (associated with rank two root systems) with two self conjugate scalar fields. It is conjectured that the same method could be used to obtain the other ATFT associated with higher rank root systems.Comment: 22 pages, 50 postscript figure files, Latex2e Added reference, typos corrected, minor text modificatio

Sine-Gordon Model - Renormalization Group Solutions and Applications

The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. A perturbative renormalization group procedure is carried out through a decomposition of the sine-Gordon field in slow and fast modes. An effective slow modes's theory is derived and re-scaled to obtain the model's flow equations. The resulting Kosterlitz-Thouless phase diagram is obtained and discussed in detail. The theory's gap is estimated in terms of the sine-Gordon model paramaters. The mapping between the sine-Gordon model and models for interacting electrons in one dimension, such as the g-ology model and Hubbard model, is discussed and the previous renormalization group results, obtained for the sine-Gordon model, are thus borrowed to describe different aspects of Luttinger liquid systems, such as the nature of its excitations and phase transitions. The calculations are carried out in a thorough and pedagogical manner, aiming the reader with no previous experience with the sine-Gordon model or the renormalization group approach.Comment: 44 pages, 7 figure