scholarly journals Macdonald-Level Extension of Beta Ensembles and Large-N Limit Transition

2020 ◽  
Author(s):  
Grigori Olshanski
Keyword(s):  
Limit Transition ◽  
Large N ◽  
Beta Ensembles

scholarly journals Random matrices and Laplacian growth

2018 ◽  
Author(s):  
Patrik L. Ferrari ◽  
Herbert Spohn
Keyword(s):  
Random Matrices ◽  
Blow Up ◽  
Two Dimensions ◽  
Laplacian Growth ◽  
Normal Matrices ◽  
Large N ◽  
Complex Eigenvalues ◽  
General Complex ◽  
Exact Relations ◽  
Beta Ensembles

This article reviews the theory of random matrices with eigenvalues distributed in the complex plane and more general ‘beta ensembles’ (logarithmic gases in 2D). It first considers two ensembles of random matrices with complex eigenvalues: ensemble C of general complex matrices and ensemble N of normal matrices. In particular, it describes the Dyson gas picture for ensembles of matrices with general complex eigenvalues distributed on the plane. It then presents some general exact relations for correlation functions valid for any values of N and β before analysing the distribution and correlations of the eigenvalues in the large N limit. Using the technique of boundary value problems in two dimensions and elements of the potential theory, the article demonstrates that the finite-time blow-up (a cusp–like singularity) of the Laplacian growth with zero surface tension is a critical point of the normal and complex matrix models.

Using Item-level Analyses to Better Understand the Consequences of Partialing Procedures: An Example Using the Dark Triad

2019 ◽  
Author(s):  
Colin Vize ◽  
Katherine Collison ◽  
Donald Lynam ◽  
Josh Miller
Keyword(s):  
Psychological Research ◽  
Dark Triad ◽  
Small Samples ◽  
Residual Content ◽  
Fine Grained ◽  
Large N ◽  
Dirty Dozen ◽  
Item Level ◽  
Variable Content ◽  
Small N

Objective: Partialing procedures are frequently used in psychological research. The present study sought to further explore the consequences of partialing, focusing on the replicability of partialing-based results. Method: We used popular measures of the Dark Triad (DT; Machiavellianism, narcissism, and psychopathy) to explore the replicability of partialing procedures. We examined whether the residual content of popular DT scales are similar to the residual content of DT scales derived from separate samples based on relations with individual items from the IPIP-NEO-120, allowing for a fine-grained analysis of residual variable content. Results: Profiles were compared using three sample sizes (Small N=156-157, Moderate N = 313-314, Large N = 627-628) randomly drawn from a large MTurk sample (N = 1,255). There was low convergence among original/residual DT scales within samples. Additionally, results showed the content of residual Dirty Dozen scales was not similar across samples. Similar results were found for Short Dark Triad-Machiavellianism, but only in the moderate and small samples. Conclusion: The results indicate that there are important issues that arise when using partialing procedures, including replicability issues surrounding residual variables. Reasons for the observed results are discussed and further research examining the replicability of residual-based results is recommended.

Political identity over personal impact: Early US reactions to the COVID-19 pandemic

2020 ◽  
Author(s):  
Robert N Collins ◽  
David R. Mandel ◽  
Sarah S. Schywiola
Keyword(s):  
Emotional Distress ◽  
Strong Influence ◽  
Political Identity ◽  
Organizational Response ◽  
Threat Perception ◽  
Attitudes And Beliefs ◽  
Value Differences ◽  
Personal Impact ◽  
Large N ◽  
Weak Influence

Research suggests political identity has strong influence over individuals’ attitudes and beliefs, which in turn can affect their behavior. Likewise, firsthand experience with an issue can also affect attitudes and beliefs. A large (N = 10,362) survey (Pew Research and Ipsos W64) of Americans was analyzed to investigate the effects of both political identity and personal impact on individuals’ reactions to the COVID-19 pandemic. Results show that political identity (i.e., Democrat or Republican) and personal impact (i.e., personally affected or not) influenced different aspects of the American public’s reaction to COVID-19. Political identity exerted a strong influence on self-reports of emotional distress, threat perception, discomfort with exposure, support for restrictions, and perception of under/overreaction by individuals and institutions. Personal impact exerted a comparatively weaker influence on reported emotional distress and threat perception. Both factors had a weak influence on appraisal of individual and organizational and community responses. The dominating influence of political identity carried over into the bivariate relations among these responses. In particular, the appraisal of organizational response divided along party lines, tied to opposing views of whether there has been over- or under-reaction to the pandemic. The dominance of political identity has important implications for crisis management and reflects the influence of normative value differences between the parties, partisan messaging on the pandemic, and polarization in American politics.

OnPoint: A package for online experiments in motor control and motor learning

2020 ◽  
Author(s):  
Jonathan Sanching Tsay ◽  
Alan S. Lee ◽  
Guy Avraham ◽  
Darius E. Parvin ◽  
Jeremy Ho ◽  
...  
Keyword(s):  
Motor Control ◽  
Motor Learning ◽  
Open Source Software ◽  
Research Progress ◽  
Global Pandemic ◽  
Large N ◽  
Open Source Software Package ◽  
Potential Applications ◽  
Temporal And Spatial ◽  
The One

Motor learning experiments are typically run in-person, exploiting finely calibrated setups (digitizing tablets, robotic manipulandum, full VR displays) that provide high temporal and spatial resolution. However, these experiments come at a cost, not limited to the one-time expense of purchasing equipment but also the substantial time devoted to recruiting participants and administering the experiment. Moreover, exceptional circumstances that limit in-person testing, such as a global pandemic, may halt research progress. These limitations of in-person motor learning research have motivated the design of OnPoint, an open-source software package for motor control and motor learning researchers. As with all online studies, OnPoint offers an opportunity to conduct large-N motor learning studies, with potential applications to do faster pilot testing, replicate previous findings, and conduct longitudinal studies (GitHub repository: https://github.com/alan-s-lee/OnPoint).

Is Pre-College Interpersonal Trauma Associated with Cannabis Use?

2020 ◽  
Author(s):  
Terrell A Hicks ◽  
Daniel Bustamante ◽  
Kaitlin E Bountress ◽  
Amy Adkins ◽  
Dace S Svikis ◽  
...  
Keyword(s):  
College Students ◽  
Interpersonal Trauma ◽  
Demographic Variables ◽  
Cannabis Use ◽  
First Year ◽  
Southeastern Part ◽  
First Year College ◽  
Large N ◽  
First Year College Students ◽  
Experimental Use

Objective: To examine the prevalence and correlates of lifetime cannabis use (i.e., experimental [use 1-5 times] and non-experimental [use ≥ 6 times]) in relation to demographics, interpersonal trauma (IPT), and alcohol and nicotine use.Participants: A large (n = 9,889) representative sample of college students at an urban college campus in the southeastern part of the United States.Methods: Participants were 4 cohorts of first-year college students who completed measures of demographic variables, cannabis, alcohol, nicotine, and IPT. Associations were estimated using multinomial logistic regressions.Results: The prevalence of lifetime cannabis use was 45.5%. Specifically, 28.1% reported non-experimental cannabis use and 17.4% reported experimental cannabis use. Race, cohort, nicotine, and IPT were associated with experimental and non-experimental cannabis use. Additionally, alcohol and sex were associated with non-experimental cannabis use.Conclusions: Results show that cannabis use is prevalent among college students and is associated with race, IPT, and other substance use.

The Corneal Epithelial Stem Cell Marker - Novel Combination of High Expression of p63 and a Large N/C Ratio

2008 ◽  
Vol 1 (3) ◽  
pp. 95-105
Author(s):  
Arpitha P. ◽  
Prajna N. V. ◽  
Srinivasan M. ◽  
Muthukkaruppan V. R.
Keyword(s):  
Stem Cell ◽  
High Expression ◽  
Stem Cell Marker ◽  
Cell Marker ◽  
Corneal Epithelial ◽  
Epithelial Stem Cell ◽  
Large N

The Inclusion Calculation

2019 ◽  
Author(s):  
Melody E. Valdini
Keyword(s):  
Political Parties ◽  
The Political ◽  
Rational Action ◽  
Leadership Roles ◽  
Political Careers ◽  
Women Candidates ◽  
Novel Approach ◽  
Large N ◽  
Gender Quota ◽  
Open The Doors

Power-holders and gate-keepers in political parties and governments continue to be primarily men. How are they responding to the increasing numbers of women who are seeking leadership roles in politics? Are they angels who embrace equality and fling open the doors to power? Are they devils who block women at every turn? Are they powerless against the increasing tide of feminism and inadvertently succumbing to the push for power from women? Most likely, these male elites are primarily concerned with maintaining their own power, which drives their reaction to women’s political inclusion. The Inclusion Calculation examines women’s inclusion from the perspective of men in power and offers a novel approach to understanding differences in women’s descriptive representation. The book argues that with declining legitimacy it is valuable for male elites to “strategically feminize,” associating themselves or their party with women, because citizens will interpret the increased presence of women as meaning that the party or government is becoming more honest, cooperative, and democratic. Using a combination of case studies from Latin America, Europe, and Africa, as well as large-N analyses, the book provides evidence that male elites are more likely to increase the number of women candidates on party lists or adopt a gender quota when “feminizing” is advantageous to the political careers of men. Women’s exclusion from government, then, is not a product of their own lack of effort or ability but rather a rational action of men in power to keep their power.

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